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Simplifying 3x4 + 3x4 + -270x2 = 0 Reorder the terms: -270x2 + 3x4 + 3x4 = 0 Combine like terms: 3x4 + 3x4 = 6x4 -270x2 + 6x4 = 0 Solving -270x2 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(-45 + x2) = 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 '(-45 + x2)' equal to zero and attempt to solve: Simplifying -45 + x2 = 0 Solving -45 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + x2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + x2 = 0 + 45 x2 = 0 + 45 Combine like terms: 0 + 45 = 45 x2 = 45 Simplifying x2 = 45 Take the square root of each side: x = {-6.708203933, 6.708203933}Solution
x = {0, -6.708203933, 6.708203933}
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