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Simplifying (8x2 + -6x + -7) + -1(5 + -9x2 + -1x) = 0 Reorder the terms: (-7 + -6x + 8x2) + -1(5 + -9x2 + -1x) = 0 Remove parenthesis around (-7 + -6x + 8x2) -7 + -6x + 8x2 + -1(5 + -9x2 + -1x) = 0 Reorder the terms: -7 + -6x + 8x2 + -1(5 + -1x + -9x2) = 0 -7 + -6x + 8x2 + (5 * -1 + -1x * -1 + -9x2 * -1) = 0 -7 + -6x + 8x2 + (-5 + 1x + 9x2) = 0 Reorder the terms: -7 + -5 + -6x + 1x + 8x2 + 9x2 = 0 Combine like terms: -7 + -5 = -12 -12 + -6x + 1x + 8x2 + 9x2 = 0 Combine like terms: -6x + 1x = -5x -12 + -5x + 8x2 + 9x2 = 0 Combine like terms: 8x2 + 9x2 = 17x2 -12 + -5x + 17x2 = 0 Solving -12 + -5x + 17x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -17x)(1 + -1x) = 0Subproblem 1
Set the factor '(-12 + -17x)' equal to zero and attempt to solve: Simplifying -12 + -17x = 0 Solving -12 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -17x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -17x = 0 + 12 -17x = 0 + 12 Combine like terms: 0 + 12 = 12 -17x = 12 Divide each side by '-17'. x = -0.7058823529 Simplifying x = -0.7058823529Subproblem 2
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 = 1Solution
x = {-0.7058823529, 1}
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