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Simplifying (-1x2 + -5x + -3) + -1(7x2 + -8x + -8) = 0 Reorder the terms: (-3 + -5x + -1x2) + -1(7x2 + -8x + -8) = 0 Remove parenthesis around (-3 + -5x + -1x2) -3 + -5x + -1x2 + -1(7x2 + -8x + -8) = 0 Reorder the terms: -3 + -5x + -1x2 + -1(-8 + -8x + 7x2) = 0 -3 + -5x + -1x2 + (-8 * -1 + -8x * -1 + 7x2 * -1) = 0 -3 + -5x + -1x2 + (8 + 8x + -7x2) = 0 Reorder the terms: -3 + 8 + -5x + 8x + -1x2 + -7x2 = 0 Combine like terms: -3 + 8 = 5 5 + -5x + 8x + -1x2 + -7x2 = 0 Combine like terms: -5x + 8x = 3x 5 + 3x + -1x2 + -7x2 = 0 Combine like terms: -1x2 + -7x2 = -8x2 5 + 3x + -8x2 = 0 Solving 5 + 3x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(5 + 8x) = 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 '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Solution
x = {1, -0.625}
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