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Simplifying 20x4 + -28x2 = 0 Reorder the terms: -28x2 + 20x4 = 0 Solving -28x2 + 20x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-7 + 5x2) = 0 Ignore the factor 4.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 '(-7 + 5x2)' equal to zero and attempt to solve: Simplifying -7 + 5x2 = 0 Solving -7 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x2 = 0 + 7 5x2 = 0 + 7 Combine like terms: 0 + 7 = 7 5x2 = 7 Divide each side by '5'. x2 = 1.4 Simplifying x2 = 1.4 Take the square root of each side: x = {-1.183215957, 1.183215957}Solution
x = {0, -1.183215957, 1.183215957}
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