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Simplifying (8x + -1y + -7)(6x) = 0 Reorder the terms: (-7 + 8x + -1y)(6x) = 0 Remove parenthesis around (6x) (-7 + 8x + -1y) * 6x = 0 Reorder the terms for easier multiplication: 6x(-7 + 8x + -1y) = 0 (-7 * 6x + 8x * 6x + -1y * 6x) = 0 Reorder the terms: (-42x + -6xy + 48x2) = 0 (-42x + -6xy + 48x2) = 0 Solving -42x + -6xy + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-7 + -1y + 8x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-7 + -1y + 8x)' equal to zero and attempt to solve: Simplifying -7 + -1y + 8x = 0 Reorder the terms: -7 + 8x + -1y = 0 Solving -7 + 8x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 8x + 7 + -1y = 0 + 7 Reorder the terms: -7 + 7 + 8x + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8x + -1y = 0 + 7 8x + -1y = 0 + 7 Combine like terms: 0 + 7 = 7 8x + -1y = 7 Add 'y' to each side of the equation. 8x + -1y + y = 7 + y Combine like terms: -1y + y = 0 8x + 0 = 7 + y 8x = 7 + y Divide each side by '8'. x = 0.875 + 0.125y Simplifying x = 0.875 + 0.125ySolution
x = {0, 0.875 + 0.125y}
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