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Simplifying (-1x2 + x + -4) + -1(3x2 + -8x + -2) = 0 Reorder the terms: (-4 + x + -1x2) + -1(3x2 + -8x + -2) = 0 Remove parenthesis around (-4 + x + -1x2) -4 + x + -1x2 + -1(3x2 + -8x + -2) = 0 Reorder the terms: -4 + x + -1x2 + -1(-2 + -8x + 3x2) = 0 -4 + x + -1x2 + (-2 * -1 + -8x * -1 + 3x2 * -1) = 0 -4 + x + -1x2 + (2 + 8x + -3x2) = 0 Reorder the terms: -4 + 2 + x + 8x + -1x2 + -3x2 = 0 Combine like terms: -4 + 2 = -2 -2 + x + 8x + -1x2 + -3x2 = 0 Combine like terms: x + 8x = 9x -2 + 9x + -1x2 + -3x2 = 0 Combine like terms: -1x2 + -3x2 = -4x2 -2 + 9x + -4x2 = 0 Solving -2 + 9x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + x)(1 + -4x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {2, 0.25}
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