4x^2=-12x-9

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Solution for 4x^2=-12x-9 equation:


Simplifying
4x2 = -12x + -9

Reorder the terms:
4x2 = -9 + -12x

Solving
4x2 = -9 + -12x

Solving for variable 'x'.

Reorder the terms:
9 + 12x + 4x2 = -9 + -12x + 9 + 12x

Reorder the terms:
9 + 12x + 4x2 = -9 + 9 + -12x + 12x

Combine like terms: -9 + 9 = 0
9 + 12x + 4x2 = 0 + -12x + 12x
9 + 12x + 4x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
9 + 12x + 4x2 = 0

Factor a trinomial.
(3 + 2x)(3 + 2x) = 0

Subproblem 1

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Subproblem 2

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {-1.5, -1.5}

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