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Simplifying x + x(4x) + 36x = 0 Remove parenthesis around (4x) x + x * 4x + 36x = 0 Reorder the terms for easier multiplication: x + 4x * x + 36x = 0 Multiply x * x x + 4x2 + 36x = 0 Reorder the terms: x + 36x + 4x2 = 0 Combine like terms: x + 36x = 37x 37x + 4x2 = 0 Solving 37x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(37 + 4x) = 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 '(37 + 4x)' equal to zero and attempt to solve: Simplifying 37 + 4x = 0 Solving 37 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 4x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 4x = 0 + -37 4x = 0 + -37 Combine like terms: 0 + -37 = -37 4x = -37 Divide each side by '4'. x = -9.25 Simplifying x = -9.25Solution
x = {0, -9.25}
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