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Simplifying x2 + 28x + x2 = 960 Reorder the terms: 28x + x2 + x2 = 960 Combine like terms: x2 + x2 = 2x2 28x + 2x2 = 960 Solving 28x + 2x2 = 960 Solving for variable 'x'. Reorder the terms: -960 + 28x + 2x2 = 960 + -960 Combine like terms: 960 + -960 = 0 -960 + 28x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-480 + 14x + x2) = 0 Factor a trinomial. 2((-30 + -1x)(16 + -1x)) = 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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-30, 16}
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