2x(4x+9)=-9

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Solution for 2x(4x+9)=-9 equation:


Simplifying
2x(4x + 9) = -9

Reorder the terms:
2x(9 + 4x) = -9
(9 * 2x + 4x * 2x) = -9
(18x + 8x2) = -9

Solving
18x + 8x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 18x + 8x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 18x + 8x2 = 0

Factor a trinomial.
(3 + 2x)(3 + 4x) = 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 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {-1.5, -0.75}

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