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Simplifying 7x2 = -1(-9 + 18x) 7x2 = (-9 * -1 + 18x * -1) 7x2 = (9 + -18x) Solving 7x2 = 9 + -18x Solving for variable 'x'. Reorder the terms: -9 + 18x + 7x2 = 9 + -18x + -9 + 18x Reorder the terms: -9 + 18x + 7x2 = 9 + -9 + -18x + 18x Combine like terms: 9 + -9 = 0 -9 + 18x + 7x2 = 0 + -18x + 18x -9 + 18x + 7x2 = -18x + 18x Combine like terms: -18x + 18x = 0 -9 + 18x + 7x2 = 0 Factor a trinomial. (-3 + -1x)(3 + -7x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {-3, 0.4285714286}
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