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Simplifying 4y(5y + -7x) + 4(7x + 8x) = 0 Reorder the terms: 4y(-7x + 5y) + 4(7x + 8x) = 0 (-7x * 4y + 5y * 4y) + 4(7x + 8x) = 0 (-28xy + 20y2) + 4(7x + 8x) = 0 Combine like terms: 7x + 8x = 15x -28xy + 20y2 + 4(15x) = 0 Remove parenthesis around (15x) -28xy + 20y2 + 4 * 15x = 0 Multiply 4 * 15 -28xy + 20y2 + 60x = 0 Reorder the terms: 60x + -28xy + 20y2 = 0 Solving 60x + -28xy + 20y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y2' to each side of the equation. 60x + -28xy + 20y2 + -20y2 = 0 + -20y2 Combine like terms: 20y2 + -20y2 = 0 60x + -28xy + 0 = 0 + -20y2 60x + -28xy = 0 + -20y2 Remove the zero: 60x + -28xy = -20y2 Combine like terms: -20y2 + 20y2 = 0 60x + -28xy + 20y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(15x + -7xy + 5y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15x + -7xy + 5y2)' equal to zero and attempt to solve: Simplifying 15x + -7xy + 5y2 = 0 Solving 15x + -7xy + 5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 15x + -7xy + 5y2 + -5y2 = 0 + -5y2 Combine like terms: 5y2 + -5y2 = 0 15x + -7xy + 0 = 0 + -5y2 15x + -7xy = 0 + -5y2 Remove the zero: 15x + -7xy = -5y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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