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Simplifying 2x3 + 0x2 + -12x = 0 Anything times zero is zero. 2x3 + 0x2 + -12x = 0 Reorder the terms: 0 + -12x + 2x3 = 0 Remove the zero: -12x + 2x3 = 0 Solving -12x + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-6 + x2) = 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 '(-6 + x2)' equal to zero and attempt to solve: Simplifying -6 + x2 = 0 Solving -6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x2 = 0 + 6 x2 = 0 + 6 Combine like terms: 0 + 6 = 6 x2 = 6 Simplifying x2 = 6 Take the square root of each side: x = {-2.449489743, 2.449489743}Solution
x = {0, -2.449489743, 2.449489743}
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