4x(4x-6)=-9

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Solution for 4x(4x-6)=-9 equation:


Simplifying
4x(4x + -6) = -9

Reorder the terms:
4x(-6 + 4x) = -9
(-6 * 4x + 4x * 4x) = -9
(-24x + 16x2) = -9

Solving
-24x + 16x2 = -9

Solving for variable 'x'.

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

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

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

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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