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Simplifying 6x3 = 6000x Solving 6x3 = 6000x Solving for variable 'x'. Reorder the terms: -6000x + 6x3 = 6000x + -6000x Combine like terms: 6000x + -6000x = 0 -6000x + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-1000 + x2) = 0 Ignore the factor 6.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 '(-1000 + x2)' equal to zero and attempt to solve: Simplifying -1000 + x2 = 0 Solving -1000 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1000' to each side of the equation. -1000 + 1000 + x2 = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + x2 = 0 + 1000 x2 = 0 + 1000 Combine like terms: 0 + 1000 = 1000 x2 = 1000 Simplifying x2 = 1000 Take the square root of each side: x = {-31.622776602, 31.622776602}Solution
x = {0, -31.622776602, 31.622776602}
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