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Simplifying 4(x2 + x) + -30 = -1x2 + -1x Reorder the terms: 4(x + x2) + -30 = -1x2 + -1x (x * 4 + x2 * 4) + -30 = -1x2 + -1x (4x + 4x2) + -30 = -1x2 + -1x Reorder the terms: -30 + 4x + 4x2 = -1x2 + -1x Reorder the terms: -30 + 4x + 4x2 = -1x + -1x2 Solving -30 + 4x + 4x2 = -1x + -1x2 Solving for variable 'x'. Reorder the terms: -30 + 4x + x + 4x2 + x2 = -1x + -1x2 + x + x2 Combine like terms: 4x + x = 5x -30 + 5x + 4x2 + x2 = -1x + -1x2 + x + x2 Combine like terms: 4x2 + x2 = 5x2 -30 + 5x + 5x2 = -1x + -1x2 + x + x2 Reorder the terms: -30 + 5x + 5x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 -30 + 5x + 5x2 = 0 + -1x2 + x2 -30 + 5x + 5x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -30 + 5x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + x + x2) = 0 Factor a trinomial. 5((-3 + -1x)(2 + -1x)) = 0 Ignore the factor 5.Subproblem 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3, 2}
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