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Simplifying 10x4y5 + 39x3y5 + -4x2y5 = 0 Reorder the terms: -4x2y5 + 39x3y5 + 10x4y5 = 0 Solving -4x2y5 + 39x3y5 + 10x4y5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2y5'. x2y5(-4 + 39x + 10x2) = 0 Factor a trinomial. x2y5((-4 + -1x)(1 + -10x)) = 0Subproblem 1
Set the factor 'x2y5' equal to zero and attempt to solve: Simplifying x2y5 = 0 Solving x2y5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 3
Set the factor '(1 + -10x)' equal to zero and attempt to solve: Simplifying 1 + -10x = 0 Solving 1 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 0 + -1 -10x = 0 + -1 Combine like terms: 0 + -1 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1Solution
x = {-4, 0.1}
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