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Simplifying -16x2 + 90x + 3 = 84 Reorder the terms: 3 + 90x + -16x2 = 84 Solving 3 + 90x + -16x2 = 84 Solving for variable 'x'. Reorder the terms: 3 + -84 + 90x + -16x2 = 84 + -84 Combine like terms: 3 + -84 = -81 -81 + 90x + -16x2 = 84 + -84 Combine like terms: 84 + -84 = 0 -81 + 90x + -16x2 = 0 Factor a trinomial. (-9 + 2x)(9 + -8x) = 0Subproblem 1
Set the factor '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 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 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 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 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {4.5, 1.125}
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