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Simplifying (9x + -4)(9x + -4) = 0 Reorder the terms: (-4 + 9x)(9x + -4) = 0 Reorder the terms: (-4 + 9x)(-4 + 9x) = 0 Multiply (-4 + 9x) * (-4 + 9x) (-4(-4 + 9x) + 9x * (-4 + 9x)) = 0 ((-4 * -4 + 9x * -4) + 9x * (-4 + 9x)) = 0 ((16 + -36x) + 9x * (-4 + 9x)) = 0 (16 + -36x + (-4 * 9x + 9x * 9x)) = 0 (16 + -36x + (-36x + 81x2)) = 0 Combine like terms: -36x + -36x = -72x (16 + -72x + 81x2) = 0 Solving 16 + -72x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -9x)(4 + -9x) = 0Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 2
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Solution
x = {0.4444444444, 0.4444444444}
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