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Simplifying (-6x + 4) + -1(x2 + x + -4) = 0 Reorder the terms: (4 + -6x) + -1(x2 + x + -4) = 0 Remove parenthesis around (4 + -6x) 4 + -6x + -1(x2 + x + -4) = 0 Reorder the terms: 4 + -6x + -1(-4 + x + x2) = 0 4 + -6x + (-4 * -1 + x * -1 + x2 * -1) = 0 4 + -6x + (4 + -1x + -1x2) = 0 Reorder the terms: 4 + 4 + -6x + -1x + -1x2 = 0 Combine like terms: 4 + 4 = 8 8 + -6x + -1x + -1x2 = 0 Combine like terms: -6x + -1x = -7x 8 + -7x + -1x2 = 0 Solving 8 + -7x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(8 + x) = 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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {1, -8}
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