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Simplifying x2(114 + -4x) = 0 (114 * x2 + -4x * x2) = 0 (114x2 + -4x3) = 0 Solving 114x2 + -4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(57 + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(57 + -2x)' equal to zero and attempt to solve: Simplifying 57 + -2x = 0 Solving 57 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -2x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -2x = 0 + -57 -2x = 0 + -57 Combine like terms: 0 + -57 = -57 -2x = -57 Divide each side by '-2'. x = 28.5 Simplifying x = 28.5Solution
x = {0, 28.5}
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