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Simplifying 7x3 + -12x = 0 Reorder the terms: -12x + 7x3 = 0 Solving -12x + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 7x2) = 0Subproblem 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 '(-12 + 7x2)' equal to zero and attempt to solve: Simplifying -12 + 7x2 = 0 Solving -12 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7x2 = 0 + 12 7x2 = 0 + 12 Combine like terms: 0 + 12 = 12 7x2 = 12 Divide each side by '7'. x2 = 1.714285714 Simplifying x2 = 1.714285714 Take the square root of each side: x = {-1.309307341, 1.309307341}Solution
x = {0, -1.309307341, 1.309307341}
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