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Simplifying 15x4 + -27x2 = 0 Reorder the terms: -27x2 + 15x4 = 0 Solving -27x2 + 15x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-9 + 5x2) = 0 Ignore the factor 3.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 '(-9 + 5x2)' equal to zero and attempt to solve: Simplifying -9 + 5x2 = 0 Solving -9 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5x2 = 0 + 9 5x2 = 0 + 9 Combine like terms: 0 + 9 = 9 5x2 = 9 Divide each side by '5'. x2 = 1.8 Simplifying x2 = 1.8 Take the square root of each side: x = {-1.341640787, 1.341640787}Solution
x = {0, -1.341640787, 1.341640787}
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