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Simplifying x2 + 4x2 + 40x + 100 = 25 Reorder the terms: 100 + 40x + x2 + 4x2 = 25 Combine like terms: x2 + 4x2 = 5x2 100 + 40x + 5x2 = 25 Solving 100 + 40x + 5x2 = 25 Solving for variable 'x'. Reorder the terms: 100 + -25 + 40x + 5x2 = 25 + -25 Combine like terms: 100 + -25 = 75 75 + 40x + 5x2 = 25 + -25 Combine like terms: 25 + -25 = 0 75 + 40x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(15 + 8x + x2) = 0 Factor a trinomial. 5((5 + x)(3 + x)) = 0 Ignore the factor 5.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-5, -3}
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