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Simplifying (5x2 + 3x + -4) + -1(6x2 + -5x + 8) = 0 Reorder the terms: (-4 + 3x + 5x2) + -1(6x2 + -5x + 8) = 0 Remove parenthesis around (-4 + 3x + 5x2) -4 + 3x + 5x2 + -1(6x2 + -5x + 8) = 0 Reorder the terms: -4 + 3x + 5x2 + -1(8 + -5x + 6x2) = 0 -4 + 3x + 5x2 + (8 * -1 + -5x * -1 + 6x2 * -1) = 0 -4 + 3x + 5x2 + (-8 + 5x + -6x2) = 0 Reorder the terms: -4 + -8 + 3x + 5x + 5x2 + -6x2 = 0 Combine like terms: -4 + -8 = -12 -12 + 3x + 5x + 5x2 + -6x2 = 0 Combine like terms: 3x + 5x = 8x -12 + 8x + 5x2 + -6x2 = 0 Combine like terms: 5x2 + -6x2 = -1x2 -12 + 8x + -1x2 = 0 Solving -12 + 8x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {6, 2}
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