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Simplifying 54x4 + -42x2 = 0 Reorder the terms: -42x2 + 54x4 = 0 Solving -42x2 + 54x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(-7 + 9x2) = 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 '(-7 + 9x2)' equal to zero and attempt to solve: Simplifying -7 + 9x2 = 0 Solving -7 + 9x2 = 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 + 9x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9x2 = 0 + 7 9x2 = 0 + 7 Combine like terms: 0 + 7 = 7 9x2 = 7 Divide each side by '9'. x2 = 0.7777777778 Simplifying x2 = 0.7777777778 Take the square root of each side: x = {-0.881917104, 0.881917104}Solution
x = {0, -0.881917104, 0.881917104}
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