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Simplifying 10x3 + -610x = 0 Reorder the terms: -610x + 10x3 = 0 Solving -610x + 10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x'. 10x(-61 + x2) = 0 Ignore the factor 10.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 '(-61 + x2)' equal to zero and attempt to solve: Simplifying -61 + x2 = 0 Solving -61 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + x2 = 0 + 61 Combine like terms: -61 + 61 = 0 0 + x2 = 0 + 61 x2 = 0 + 61 Combine like terms: 0 + 61 = 61 x2 = 61 Simplifying x2 = 61 Take the square root of each side: x = {-7.810249676, 7.810249676}Solution
x = {0, -7.810249676, 7.810249676}
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