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Simplifying 150x6y3 + 195x5y3 + -45x4y3 = 0 Reorder the terms: -45x4y3 + 195x5y3 + 150x6y3 = 0 Solving -45x4y3 + 195x5y3 + 150x6y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x4y3'. 15x4y3(-3 + 13x + 10x2) = 0 Factor a trinomial. 15x4y3((-3 + -2x)(1 + -5x)) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'x4y3' equal to zero and attempt to solve: Simplifying x4y3 = 0 Solving x4y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y3 = 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 '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 3
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-1.5, 0.2}
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