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Simplifying 4x2 + 16x2y2 + 92x3 = 0 Solving 4x2 + 16x2y2 + 92x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(1 + 4y2 + 23x) = 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 '(1 + 4y2 + 23x)' equal to zero and attempt to solve: Simplifying 1 + 4y2 + 23x = 0 Reorder the terms: 1 + 23x + 4y2 = 0 Solving 1 + 23x + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 23x + -1 + 4y2 = 0 + -1 Reorder the terms: 1 + -1 + 23x + 4y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 23x + 4y2 = 0 + -1 23x + 4y2 = 0 + -1 Combine like terms: 0 + -1 = -1 23x + 4y2 = -1 Add '-4y2' to each side of the equation. 23x + 4y2 + -4y2 = -1 + -4y2 Combine like terms: 4y2 + -4y2 = 0 23x + 0 = -1 + -4y2 23x = -1 + -4y2 Divide each side by '23'. x = -0.04347826087 + -0.1739130435y2 Simplifying x = -0.04347826087 + -0.1739130435y2Solution
x = {0, -0.04347826087 + -0.1739130435y2}
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