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