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Simplifying 0 = 81x2 + 72x + 16 Reorder the terms: 0 = 16 + 72x + 81x2 Solving 0 = 16 + 72x + 81x2 Solving for variable 'x'. Combine like terms: 0 + -16 = -16 -16 + -72x + -81x2 = 16 + 72x + 81x2 + -16 + -72x + -81x2 Reorder the terms: -16 + -72x + -81x2 = 16 + -16 + 72x + -72x + 81x2 + -81x2 Combine like terms: 16 + -16 = 0 -16 + -72x + -81x2 = 0 + 72x + -72x + 81x2 + -81x2 -16 + -72x + -81x2 = 72x + -72x + 81x2 + -81x2 Combine like terms: 72x + -72x = 0 -16 + -72x + -81x2 = 0 + 81x2 + -81x2 -16 + -72x + -81x2 = 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 -16 + -72x + -81x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 72x + 81x2) = 0 Factor a trinomial. -1((4 + 9x)(4 + 9x)) = 0 Ignore the factor -1.Subproblem 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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