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Simplifying 1x + 4(x2 + 2x + -4) = 3x2 + -6 Reorder the terms: 1x + 4(-4 + 2x + x2) = 3x2 + -6 1x + (-4 * 4 + 2x * 4 + x2 * 4) = 3x2 + -6 1x + (-16 + 8x + 4x2) = 3x2 + -6 Reorder the terms: -16 + 1x + 8x + 4x2 = 3x2 + -6 Combine like terms: 1x + 8x = 9x -16 + 9x + 4x2 = 3x2 + -6 Reorder the terms: -16 + 9x + 4x2 = -6 + 3x2 Solving -16 + 9x + 4x2 = -6 + 3x2 Solving for variable 'x'. Reorder the terms: -16 + 6 + 9x + 4x2 + -3x2 = -6 + 3x2 + 6 + -3x2 Combine like terms: -16 + 6 = -10 -10 + 9x + 4x2 + -3x2 = -6 + 3x2 + 6 + -3x2 Combine like terms: 4x2 + -3x2 = 1x2 -10 + 9x + 1x2 = -6 + 3x2 + 6 + -3x2 Reorder the terms: -10 + 9x + 1x2 = -6 + 6 + 3x2 + -3x2 Combine like terms: -6 + 6 = 0 -10 + 9x + 1x2 = 0 + 3x2 + -3x2 -10 + 9x + 1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -10 + 9x + 1x2 = 0 Factor a trinomial. (-10 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
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 = 1Solution
x = {-10, 1}
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