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Simplifying 8x2 * 5y3 = 15x4 * 2y5 Reorder the terms for easier multiplication: 8 * 5x2 * y3 = 15x4 * 2y5 Multiply 8 * 5 40x2 * y3 = 15x4 * 2y5 Multiply x2 * y3 40x2y3 = 15x4 * 2y5 Reorder the terms for easier multiplication: 40x2y3 = 15 * 2x4 * y5 Multiply 15 * 2 40x2y3 = 30x4 * y5 Multiply x4 * y5 40x2y3 = 30x4y5 Solving 40x2y3 = 30x4y5 Solving for variable 'x'. Combine like terms: 30x4y5 + -30x4y5 = 0 40x2y3 + -30x4y5 = 0 Factor out the Greatest Common Factor (GCF), '10x2y3'. 10x2y3(4 + -3x2y2) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 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 + -3x2y2)' equal to zero and attempt to solve: Simplifying 4 + -3x2y2 = 0 Solving 4 + -3x2y2 = 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 + -3x2y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x2y2 = 0 + -4 -3x2y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x2y2 = -4 Divide each side by '-3y2'. x2 = 1.333333333y-2 Simplifying x2 = 1.333333333y-2 Take the square root of each side: x = {-1.154700538y-1, 1.154700538y-1}Solution
x = {-1.154700538y-1, 1.154700538y-1}
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