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Simplifying (8x2 + 9x + -2) + -1(3x2 + -6) = 0 Reorder the terms: (-2 + 9x + 8x2) + -1(3x2 + -6) = 0 Remove parenthesis around (-2 + 9x + 8x2) -2 + 9x + 8x2 + -1(3x2 + -6) = 0 Reorder the terms: -2 + 9x + 8x2 + -1(-6 + 3x2) = 0 -2 + 9x + 8x2 + (-6 * -1 + 3x2 * -1) = 0 -2 + 9x + 8x2 + (6 + -3x2) = 0 Reorder the terms: -2 + 6 + 9x + 8x2 + -3x2 = 0 Combine like terms: -2 + 6 = 4 4 + 9x + 8x2 + -3x2 = 0 Combine like terms: 8x2 + -3x2 = 5x2 4 + 9x + 5x2 = 0 Solving 4 + 9x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + x)(4 + 5x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-1, -0.8}
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