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Simplifying 26x + 15x = -8x2 Combine like terms: 26x + 15x = 41x 41x = -8x2 Solving 41x = -8x2 Solving for variable 'x'. Combine like terms: -8x2 + 8x2 = 0 41x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(41 + 8x) = 0Subproblem 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 + 8x)' equal to zero and attempt to solve: Simplifying 41 + 8x = 0 Solving 41 + 8x = 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 + 8x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 8x = 0 + -41 8x = 0 + -41 Combine like terms: 0 + -41 = -41 8x = -41 Divide each side by '8'. x = -5.125 Simplifying x = -5.125Solution
x = {0, -5.125}
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