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Simplifying 5x3 + -4x = 0 Reorder the terms: -4x + 5x3 = 0 Solving -4x + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 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 '(-4 + 5x2)' equal to zero and attempt to solve: Simplifying -4 + 5x2 = 0 Solving -4 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x2 = 0 + 4 5x2 = 0 + 4 Combine like terms: 0 + 4 = 4 5x2 = 4 Divide each side by '5'. x2 = 0.8 Simplifying x2 = 0.8 Take the square root of each side: x = {-0.894427191, 0.894427191}Solution
x = {0, -0.894427191, 0.894427191}
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