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Simplifying 0 = 5x3 + -8x Reorder the terms: 0 = -8x + 5x3 Solving 0 = -8x + 5x3 Solving for variable 'x'. Remove the zero: 8x + -5x3 = -8x + 5x3 + 8x + -5x3 Reorder the terms: 8x + -5x3 = -8x + 8x + 5x3 + -5x3 Combine like terms: -8x + 8x = 0 8x + -5x3 = 0 + 5x3 + -5x3 8x + -5x3 = 5x3 + -5x3 Combine like terms: 5x3 + -5x3 = 0 8x + -5x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(8 + -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 '(8 + -5x2)' equal to zero and attempt to solve: Simplifying 8 + -5x2 = 0 Solving 8 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x2 = 0 + -8 -5x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5x2 = -8 Divide each side by '-5'. x2 = 1.6 Simplifying x2 = 1.6 Take the square root of each side: x = {-1.264911064, 1.264911064}Solution
x = {0, -1.264911064, 1.264911064}
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