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Simplifying 42x4 + -30x2 = 0 Reorder the terms: -30x2 + 42x4 = 0 Solving -30x2 + 42x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(-5 + 7x2) = 0 Ignore the factor 6.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 '(-5 + 7x2)' equal to zero and attempt to solve: Simplifying -5 + 7x2 = 0 Solving -5 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x2 = 0 + 5 7x2 = 0 + 5 Combine like terms: 0 + 5 = 5 7x2 = 5 Divide each side by '7'. x2 = 0.7142857143 Simplifying x2 = 0.7142857143 Take the square root of each side: x = {-0.845154255, 0.845154255}Solution
x = {0, -0.845154255, 0.845154255}
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