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Simplifying -35x2y4 + 10xy4 + 25y4 = 0 Reorder the terms: 10xy4 + -35x2y4 + 25y4 = 0 Solving 10xy4 + -35x2y4 + 25y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5y4'. 5y4(2x + -7x2 + 5) = 0 Factor a trinomial. 5y4((-7x + -5)(x + -1)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y4' to each side of the equation. y4 + -1y4 = 0 + -1y4 Remove the zero: 0 = -1y4 Simplifying 0 = -1y4 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 '(-7x + -5)' equal to zero and attempt to solve: Simplifying -7x + -5 = 0 Reorder the terms: -5 + -7x = 0 Solving -5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 3
Set the factor '(x + -1)' equal to zero and attempt to solve: Simplifying x + -1 = 0 Reorder the terms: -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {-0.7142857143, 1}
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