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Simplifying 3x4 + -76x2 = 0 Reorder the terms: -76x2 + 3x4 = 0 Solving -76x2 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-76 + 3x2) = 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 '(-76 + 3x2)' equal to zero and attempt to solve: Simplifying -76 + 3x2 = 0 Solving -76 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + 3x2 = 0 + 76 Combine like terms: -76 + 76 = 0 0 + 3x2 = 0 + 76 3x2 = 0 + 76 Combine like terms: 0 + 76 = 76 3x2 = 76 Divide each side by '3'. x2 = 25.33333333 Simplifying x2 = 25.33333333 Take the square root of each side: x = {-5.033222957, 5.033222957}Solution
x = {0, -5.033222957, 5.033222957}
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