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Simplifying 0 = 4x2 + 28x + 40 Reorder the terms: 0 = 40 + 28x + 4x2 Solving 0 = 40 + 28x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -40 = -40 -40 + -28x + -4x2 = 40 + 28x + 4x2 + -40 + -28x + -4x2 Reorder the terms: -40 + -28x + -4x2 = 40 + -40 + 28x + -28x + 4x2 + -4x2 Combine like terms: 40 + -40 = 0 -40 + -28x + -4x2 = 0 + 28x + -28x + 4x2 + -4x2 -40 + -28x + -4x2 = 28x + -28x + 4x2 + -4x2 Combine like terms: 28x + -28x = 0 -40 + -28x + -4x2 = 0 + 4x2 + -4x2 -40 + -28x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -40 + -28x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(10 + 7x + x2) = 0 Factor a trinomial. -4((5 + x)(2 + x)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-5, -2}
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