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Simplifying 3x2 + 25 = 25 + -15x Reorder the terms: 25 + 3x2 = 25 + -15x Add '-25' to each side of the equation. 25 + -25 + 3x2 = 25 + -25 + -15x Combine like terms: 25 + -25 = 0 0 + 3x2 = 25 + -25 + -15x 3x2 = 25 + -25 + -15x Combine like terms: 25 + -25 = 0 3x2 = 0 + -15x 3x2 = -15x Solving 3x2 = -15x Solving for variable 'x'. Reorder the terms: 15x + 3x2 = -15x + 15x Combine like terms: -15x + 15x = 0 15x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(5 + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, -5}
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