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Simplifying 6x * 6x + 37x + 6x = 0 Reorder the terms for easier multiplication: 6 * 6x * x + 37x + 6x = 0 Multiply 6 * 6 36x * x + 37x + 6x = 0 Multiply x * x 36x2 + 37x + 6x = 0 Reorder the terms: 37x + 6x + 36x2 = 0 Combine like terms: 37x + 6x = 43x 43x + 36x2 = 0 Solving 43x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(43 + 36x) = 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 '(43 + 36x)' equal to zero and attempt to solve: Simplifying 43 + 36x = 0 Solving 43 + 36x = 0 Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 36x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 36x = 0 + -43 36x = 0 + -43 Combine like terms: 0 + -43 = -43 36x = -43 Divide each side by '36'. x = -1.194444444 Simplifying x = -1.194444444Solution
x = {0, -1.194444444}
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