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Simplifying 5x3 + -6x = 0 Reorder the terms: -6x + 5x3 = 0 Solving -6x + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 5x2) = 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 '(-6 + 5x2)' equal to zero and attempt to solve: Simplifying -6 + 5x2 = 0 Solving -6 + 5x2 = 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 + 5x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x2 = 0 + 6 5x2 = 0 + 6 Combine like terms: 0 + 6 = 6 5x2 = 6 Divide each side by '5'. x2 = 1.2 Simplifying x2 = 1.2 Take the square root of each side: x = {-1.095445115, 1.095445115}Solution
x = {0, -1.095445115, 1.095445115}
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