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Simplifying (9x2 + -5x + -6) + (5x2 + -8x + -4) = 0 Reorder the terms: (-6 + -5x + 9x2) + (5x2 + -8x + -4) = 0 Remove parenthesis around (-6 + -5x + 9x2) -6 + -5x + 9x2 + (5x2 + -8x + -4) = 0 Reorder the terms: -6 + -5x + 9x2 + (-4 + -8x + 5x2) = 0 Remove parenthesis around (-4 + -8x + 5x2) -6 + -5x + 9x2 + -4 + -8x + 5x2 = 0 Reorder the terms: -6 + -4 + -5x + -8x + 9x2 + 5x2 = 0 Combine like terms: -6 + -4 = -10 -10 + -5x + -8x + 9x2 + 5x2 = 0 Combine like terms: -5x + -8x = -13x -10 + -13x + 9x2 + 5x2 = 0 Combine like terms: 9x2 + 5x2 = 14x2 -10 + -13x + 14x2 = 0 Solving -10 + -13x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -2x)(10 + -7x) = 0Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(10 + -7x)' equal to zero and attempt to solve: Simplifying 10 + -7x = 0 Solving 10 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 0 + -10 -7x = 0 + -10 Combine like terms: 0 + -10 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429Solution
x = {-0.5, 1.428571429}
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