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Simplifying (x2 + -1x + -5) + -1(-3x2 + 8x + 8) = 0 Reorder the terms: (-5 + -1x + x2) + -1(-3x2 + 8x + 8) = 0 Remove parenthesis around (-5 + -1x + x2) -5 + -1x + x2 + -1(-3x2 + 8x + 8) = 0 Reorder the terms: -5 + -1x + x2 + -1(8 + 8x + -3x2) = 0 -5 + -1x + x2 + (8 * -1 + 8x * -1 + -3x2 * -1) = 0 -5 + -1x + x2 + (-8 + -8x + 3x2) = 0 Reorder the terms: -5 + -8 + -1x + -8x + x2 + 3x2 = 0 Combine like terms: -5 + -8 = -13 -13 + -1x + -8x + x2 + 3x2 = 0 Combine like terms: -1x + -8x = -9x -13 + -9x + x2 + 3x2 = 0 Combine like terms: x2 + 3x2 = 4x2 -13 + -9x + 4x2 = 0 Solving -13 + -9x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(13 + -4x) = 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 '(13 + -4x)' equal to zero and attempt to solve: Simplifying 13 + -4x = 0 Solving 13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 0 + -13 -4x = 0 + -13 Combine like terms: 0 + -13 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25Solution
x = {-1, 3.25}
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