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Simplifying 16x2 = 40x + -9 Reorder the terms: 16x2 = -9 + 40x Solving 16x2 = -9 + 40x Solving for variable 'x'. Reorder the terms: 9 + -40x + 16x2 = -9 + 40x + 9 + -40x Reorder the terms: 9 + -40x + 16x2 = -9 + 9 + 40x + -40x Combine like terms: -9 + 9 = 0 9 + -40x + 16x2 = 0 + 40x + -40x 9 + -40x + 16x2 = 40x + -40x Combine like terms: 40x + -40x = 0 9 + -40x + 16x2 = 0 Factor a trinomial. (1 + -4x)(9 + -4x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 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 = {0.25, 2.25}
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