-9=16x^2+24x

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Solution for -9=16x^2+24x equation:


Simplifying
-9 = 16x2 + 24x

Reorder the terms:
-9 = 24x + 16x2

Solving
-9 = 24x + 16x2

Solving for variable 'x'.

Reorder the terms:
-9 + -24x + -16x2 = 24x + -24x + 16x2 + -16x2

Combine like terms: 24x + -24x = 0
-9 + -24x + -16x2 = 0 + 16x2 + -16x2
-9 + -24x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-9 + -24x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 24x + 16x2) = 0

Factor a trinomial.
-1((3 + 4x)(3 + 4x)) = 0

Ignore the factor -1.

Subproblem 1

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

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 = {-0.75, -0.75}

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