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Simplifying 12x(x2 + -15) = 0 Reorder the terms: 12x(-15 + x2) = 0 (-15 * 12x + x2 * 12x) = 0 (-180x + 12x3) = 0 Solving -180x + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(-15 + x2) = 0 Ignore the factor 12.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 '(-15 + x2)' equal to zero and attempt to solve: Simplifying -15 + x2 = 0 Solving -15 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x2 = 0 + 15 x2 = 0 + 15 Combine like terms: 0 + 15 = 15 x2 = 15 Simplifying x2 = 15 Take the square root of each side: x = {-3.872983346, 3.872983346}Solution
x = {0, -3.872983346, 3.872983346}
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