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Simplifying (240 + 2x)(140 + 2x) = 0 Multiply (240 + 2x) * (140 + 2x) (240(140 + 2x) + 2x * (140 + 2x)) = 0 ((140 * 240 + 2x * 240) + 2x * (140 + 2x)) = 0 ((33600 + 480x) + 2x * (140 + 2x)) = 0 (33600 + 480x + (140 * 2x + 2x * 2x)) = 0 (33600 + 480x + (280x + 4x2)) = 0 Combine like terms: 480x + 280x = 760x (33600 + 760x + 4x2) = 0 Solving 33600 + 760x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(8400 + 190x + x2) = 0 Factor a trinomial. 4((120 + x)(70 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(120 + x)' equal to zero and attempt to solve: Simplifying 120 + x = 0 Solving 120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + x = 0 + -120 x = 0 + -120 Combine like terms: 0 + -120 = -120 x = -120 Simplifying x = -120Subproblem 2
Set the factor '(70 + x)' equal to zero and attempt to solve: Simplifying 70 + x = 0 Solving 70 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + x = 0 + -70 x = 0 + -70 Combine like terms: 0 + -70 = -70 x = -70 Simplifying x = -70Solution
x = {-120, -70}
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