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Simplifying (x + 4)(2x + -1) = x(3x + 11) Reorder the terms: (4 + x)(2x + -1) = x(3x + 11) Reorder the terms: (4 + x)(-1 + 2x) = x(3x + 11) Multiply (4 + x) * (-1 + 2x) (4(-1 + 2x) + x(-1 + 2x)) = x(3x + 11) ((-1 * 4 + 2x * 4) + x(-1 + 2x)) = x(3x + 11) ((-4 + 8x) + x(-1 + 2x)) = x(3x + 11) (-4 + 8x + (-1 * x + 2x * x)) = x(3x + 11) (-4 + 8x + (-1x + 2x2)) = x(3x + 11) Combine like terms: 8x + -1x = 7x (-4 + 7x + 2x2) = x(3x + 11) Reorder the terms: -4 + 7x + 2x2 = x(11 + 3x) -4 + 7x + 2x2 = (11 * x + 3x * x) -4 + 7x + 2x2 = (11x + 3x2) Solving -4 + 7x + 2x2 = 11x + 3x2 Solving for variable 'x'. Reorder the terms: -4 + 7x + -11x + 2x2 + -3x2 = 11x + 3x2 + -11x + -3x2 Combine like terms: 7x + -11x = -4x -4 + -4x + 2x2 + -3x2 = 11x + 3x2 + -11x + -3x2 Combine like terms: 2x2 + -3x2 = -1x2 -4 + -4x + -1x2 = 11x + 3x2 + -11x + -3x2 Reorder the terms: -4 + -4x + -1x2 = 11x + -11x + 3x2 + -3x2 Combine like terms: 11x + -11x = 0 -4 + -4x + -1x2 = 0 + 3x2 + -3x2 -4 + -4x + -1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4 + -4x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 4x + x2) = 0 Factor a trinomial. -1((2 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 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 '(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 = -2Solution
x = {-2, -2}
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