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Simplifying 64x = 6x2 Solving 64x = 6x2 Solving for variable 'x'. Combine like terms: 6x2 + -6x2 = 0 64x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(32 + -3x) = 0 Ignore the factor 2.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 '(32 + -3x)' equal to zero and attempt to solve: Simplifying 32 + -3x = 0 Solving 32 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -3x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -3x = 0 + -32 -3x = 0 + -32 Combine like terms: 0 + -32 = -32 -3x = -32 Divide each side by '-3'. x = 10.66666667 Simplifying x = 10.66666667Solution
x = {0, 10.66666667}
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