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Simplifying 0 = 40x + 100 + 4x2 Reorder the terms: 0 = 100 + 40x + 4x2 Solving 0 = 100 + 40x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -100 = -100 -100 + -40x + -4x2 = 100 + 40x + 4x2 + -100 + -40x + -4x2 Reorder the terms: -100 + -40x + -4x2 = 100 + -100 + 40x + -40x + 4x2 + -4x2 Combine like terms: 100 + -100 = 0 -100 + -40x + -4x2 = 0 + 40x + -40x + 4x2 + -4x2 -100 + -40x + -4x2 = 40x + -40x + 4x2 + -4x2 Combine like terms: 40x + -40x = 0 -100 + -40x + -4x2 = 0 + 4x2 + -4x2 -100 + -40x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 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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