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Simplifying 15x4 + -20x2 = 0 Reorder the terms: -20x2 + 15x4 = 0 Solving -20x2 + 15x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-4 + 3x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-4 + 3x2)' equal to zero and attempt to solve: Simplifying -4 + 3x2 = 0 Solving -4 + 3x2 = 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 + 3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x2 = 0 + 4 3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 3x2 = 4 Divide each side by '3'. x2 = 1.333333333 Simplifying x2 = 1.333333333 Take the square root of each side: x = {-1.154700538, 1.154700538}Solution
x = {0, -1.154700538, 1.154700538}
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