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Simplifying 16x2 + -4x + 9 = 81 Reorder the terms: 9 + -4x + 16x2 = 81 Solving 9 + -4x + 16x2 = 81 Solving for variable 'x'. Reorder the terms: 9 + -81 + -4x + 16x2 = 81 + -81 Combine like terms: 9 + -81 = -72 -72 + -4x + 16x2 = 81 + -81 Combine like terms: 81 + -81 = 0 -72 + -4x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-18 + -1x + 4x2) = 0 Factor a trinomial. 4((-2 + -1x)(9 + -4x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-2, 2.25}
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