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Simplifying 0 = 7x2 + -36x Reorder the terms: 0 = -36x + 7x2 Solving 0 = -36x + 7x2 Solving for variable 'x'. Remove the zero: 36x + -7x2 = -36x + 7x2 + 36x + -7x2 Reorder the terms: 36x + -7x2 = -36x + 36x + 7x2 + -7x2 Combine like terms: -36x + 36x = 0 36x + -7x2 = 0 + 7x2 + -7x2 36x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 36x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(36 + -7x) = 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 '(36 + -7x)' equal to zero and attempt to solve: Simplifying 36 + -7x = 0 Solving 36 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -7x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -7x = 0 + -36 -7x = 0 + -36 Combine like terms: 0 + -36 = -36 -7x = -36 Divide each side by '-7'. x = 5.142857143 Simplifying x = 5.142857143Solution
x = {0, 5.142857143}
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