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Simplifying 9x2 = 40x + -16 Reorder the terms: 9x2 = -16 + 40x Solving 9x2 = -16 + 40x Solving for variable 'x'. Reorder the terms: 16 + -40x + 9x2 = -16 + 40x + 16 + -40x Reorder the terms: 16 + -40x + 9x2 = -16 + 16 + 40x + -40x Combine like terms: -16 + 16 = 0 16 + -40x + 9x2 = 0 + 40x + -40x 16 + -40x + 9x2 = 40x + -40x Combine like terms: 40x + -40x = 0 16 + -40x + 9x2 = 0 Factor a trinomial. (4 + -9x)(4 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.4444444444, 4}
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