Solve the following equation: (2x + 3)(x - 4) = 6

Given, (2x + 3)(x - 4) = 6. ⇒ 2x 2 - 8x + 3x - 12 = 6 ⇒ 2x 2 - 5x - 12 - 6 = 0 ⇒ 2x 2 - 5x - 18 = 0 ⇒ 2x 2 - 9x + 4x - 18 = 0 ⇒ x(2x - 9) + 2(2x - 9) = 0 ⇒ (x + 2)(2x - 9) = 0 ⇒ x + 2 = 0 or 2x - 9 = 0 ⇒ x = -2 or 2x = 9 ⇒ x = -2 or x = . Hence, roots of the given equations are -2, .

Solve the following equation:
x(2x + 5) = 25

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Solve the following equation:
(x + 3)(x - 3) = 40

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Solve the following equation:
(3x + 1)(2x + 3) = 3

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Solve the following equation:
4x² + 4x + 1 = 0

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Mathematics

Solve the following equation:
(2x + 3)(x - 4) = 6

Quadratic Equations

Related Questions

Solve the following equation:
x(2x + 5) = 25

Solve the following equation:
(x + 3)(x - 3) = 40

Solve the following equation:
(3x + 1)(2x + 3) = 3

Solve the following equation:
4x² + 4x + 1 = 0

Mathematics

Solve the following equation:(2x + 3)(x - 4) = 6

Quadratic Equations

Related Questions

Solve the following equation:x(2x + 5) = 25

Solve the following equation:(x + 3)(x - 3) = 40

Solve the following equation:(3x + 1)(2x + 3) = 3

Solve the following equation:4x2 + 4x + 1 = 0

Solve the following equation:
(2x + 3)(x - 4) = 6

Solve the following equation:
x(2x + 5) = 25

Solve the following equation:
(x + 3)(x - 3) = 40

Solve the following equation:
(3x + 1)(2x + 3) = 3

Solve the following equation:
4x² + 4x + 1 = 0