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Simplifying 24x4 + -100x2 = 0 Reorder the terms: -100x2 + 24x4 = 0 Solving -100x2 + 24x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-25 + 6x2) = 0 Ignore the factor 4.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 '(-25 + 6x2)' equal to zero and attempt to solve: Simplifying -25 + 6x2 = 0 Solving -25 + 6x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 6x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 6x2 = 0 + 25 6x2 = 0 + 25 Combine like terms: 0 + 25 = 25 6x2 = 25 Divide each side by '6'. x2 = 4.166666667 Simplifying x2 = 4.166666667 Take the square root of each side: x = {-2.041241452, 2.041241452}Solution
x = {0, -2.041241452, 2.041241452}
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