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Simplifying (2x + 40)(x + 6) = 4x2 Reorder the terms: (40 + 2x)(x + 6) = 4x2 Reorder the terms: (40 + 2x)(6 + x) = 4x2 Multiply (40 + 2x) * (6 + x) (40(6 + x) + 2x * (6 + x)) = 4x2 ((6 * 40 + x * 40) + 2x * (6 + x)) = 4x2 ((240 + 40x) + 2x * (6 + x)) = 4x2 (240 + 40x + (6 * 2x + x * 2x)) = 4x2 (240 + 40x + (12x + 2x2)) = 4x2 Combine like terms: 40x + 12x = 52x (240 + 52x + 2x2) = 4x2 Solving 240 + 52x + 2x2 = 4x2 Solving for variable 'x'. Combine like terms: 2x2 + -4x2 = -2x2 240 + 52x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 240 + 52x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(120 + 26x + -1x2) = 0 Factor a trinomial. 2((30 + -1x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {30, -4}
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