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Simplifying 10x2 + -8x2y + -18x4 = 0 Solving 10x2 + -8x2y + -18x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(5 + -4y + -9x2) = 0 Ignore the factor 2.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 '(5 + -4y + -9x2)' equal to zero and attempt to solve: Simplifying 5 + -4y + -9x2 = 0 Reorder the terms: 5 + -9x2 + -4y = 0 Solving 5 + -9x2 + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -9x2 + -5 + -4y = 0 + -5 Reorder the terms: 5 + -5 + -9x2 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x2 + -4y = 0 + -5 -9x2 + -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -9x2 + -4y = -5 Add '4y' to each side of the equation. -9x2 + -4y + 4y = -5 + 4y Combine like terms: -4y + 4y = 0 -9x2 + 0 = -5 + 4y -9x2 = -5 + 4y Divide each side by '-9'. x2 = 0.5555555556 + -0.4444444444y Simplifying x2 = 0.5555555556 + -0.4444444444y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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