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Simplifying 4x2 = -100 + -40x Solving 4x2 = -100 + -40x Solving for variable 'x'. Reorder the terms: 100 + 40x + 4x2 = -100 + -40x + 100 + 40x Reorder the terms: 100 + 40x + 4x2 = -100 + 100 + -40x + 40x Combine like terms: -100 + 100 = 0 100 + 40x + 4x2 = 0 + -40x + 40x 100 + 40x + 4x2 = -40x + 40x Combine like terms: -40x + 40x = 0 100 + 40x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(25 + 10x + x2) = 0 Factor a trinomial. 4((5 + x)(5 + 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 '(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 = -5Solution
x = {-5, -5}
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