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Simplifying 15x + -56x = x2 Combine like terms: 15x + -56x = -41x -41x = x2 Solving -41x = x2 Solving for variable 'x'. Combine like terms: x2 + -1x2 = 0 -41x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(41 + x) = 0 Ignore the factor -1.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 '(41 + x)' equal to zero and attempt to solve: Simplifying 41 + x = 0 Solving 41 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + x = 0 + -41 x = 0 + -41 Combine like terms: 0 + -41 = -41 x = -41 Simplifying x = -41Solution
x = {0, -41}
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