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Simplifying 0 = -7x2 + 2x + 9 Reorder the terms: 0 = 9 + 2x + -7x2 Solving 0 = 9 + 2x + -7x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + -2x + 7x2 = 9 + 2x + -7x2 + -9 + -2x + 7x2 Reorder the terms: -9 + -2x + 7x2 = 9 + -9 + 2x + -2x + -7x2 + 7x2 Combine like terms: 9 + -9 = 0 -9 + -2x + 7x2 = 0 + 2x + -2x + -7x2 + 7x2 -9 + -2x + 7x2 = 2x + -2x + -7x2 + 7x2 Combine like terms: 2x + -2x = 0 -9 + -2x + 7x2 = 0 + -7x2 + 7x2 -9 + -2x + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -9 + -2x + 7x2 = 0 Factor a trinomial. (-1 + -1x)(9 + -7x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 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 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {-1, 1.285714286}
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