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Simplifying 0 = 4x2 + 68x + 280 Reorder the terms: 0 = 280 + 68x + 4x2 Solving 0 = 280 + 68x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -280 = -280 -280 + -68x + -4x2 = 280 + 68x + 4x2 + -280 + -68x + -4x2 Reorder the terms: -280 + -68x + -4x2 = 280 + -280 + 68x + -68x + 4x2 + -4x2 Combine like terms: 280 + -280 = 0 -280 + -68x + -4x2 = 0 + 68x + -68x + 4x2 + -4x2 -280 + -68x + -4x2 = 68x + -68x + 4x2 + -4x2 Combine like terms: 68x + -68x = 0 -280 + -68x + -4x2 = 0 + 4x2 + -4x2 -280 + -68x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -280 + -68x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(70 + 17x + x2) = 0 Factor a trinomial. -4((10 + x)(7 + x)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-10, -7}
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