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Simplifying 4x(x + -2) + -3x(x + -4) = -3 Reorder the terms: 4x(-2 + x) + -3x(x + -4) = -3 (-2 * 4x + x * 4x) + -3x(x + -4) = -3 (-8x + 4x2) + -3x(x + -4) = -3 Reorder the terms: -8x + 4x2 + -3x(-4 + x) = -3 -8x + 4x2 + (-4 * -3x + x * -3x) = -3 -8x + 4x2 + (12x + -3x2) = -3 Reorder the terms: -8x + 12x + 4x2 + -3x2 = -3 Combine like terms: -8x + 12x = 4x 4x + 4x2 + -3x2 = -3 Combine like terms: 4x2 + -3x2 = 1x2 4x + 1x2 = -3 Solving 4x + 1x2 = -3 Solving for variable 'x'. Reorder the terms: 3 + 4x + 1x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 4x + 1x2 = 0 Factor a trinomial. (3 + x)(1 + x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-3, -1}
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