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Simplifying 7x4 = 20x2 Solving 7x4 = 20x2 Solving for variable 'x'. Reorder the terms: -20x2 + 7x4 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 -20x2 + 7x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-20 + 7x2) = 0Subproblem 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 '(-20 + 7x2)' equal to zero and attempt to solve: Simplifying -20 + 7x2 = 0 Solving -20 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 7x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 7x2 = 0 + 20 7x2 = 0 + 20 Combine like terms: 0 + 20 = 20 7x2 = 20 Divide each side by '7'. x2 = 2.857142857 Simplifying x2 = 2.857142857 Take the square root of each side: x = {-1.690308509, 1.690308509}Solution
x = {0, -1.690308509, 1.690308509}
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