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Simplifying [14xy + -1x(-8y) + -1(5xy + -2)] + -1[7xy + 10] = 0 Remove parenthesis around (-8y) [14xy + -1x * -8y + -1(5xy + -2)] + -1[7xy + 10] = 0 Reorder the terms for easier multiplication: [14xy + -1 * -8x * y + -1(5xy + -2)] + -1[7xy + 10] = 0 Multiply -1 * -8 [14xy + 8x * y + -1(5xy + -2)] + -1[7xy + 10] = 0 Multiply x * y [14xy + 8xy + -1(5xy + -2)] + -1[7xy + 10] = 0 Reorder the terms: [14xy + 8xy + -1(-2 + 5xy)] + -1[7xy + 10] = 0 [14xy + 8xy + (-2 * -1 + 5xy * -1)] + -1[7xy + 10] = 0 [14xy + 8xy + (2 + -5xy)] + -1[7xy + 10] = 0 Reorder the terms: [2 + 14xy + 8xy + -5xy] + -1[7xy + 10] = 0 Combine like terms: 14xy + 8xy = 22xy [2 + 22xy + -5xy] + -1[7xy + 10] = 0 Combine like terms: 22xy + -5xy = 17xy [2 + 17xy] + -1[7xy + 10] = 0 Remove brackets around [2 + 17xy] 2 + 17xy + -1[7xy + 10] = 0 Reorder the terms: 2 + 17xy + -1[10 + 7xy] = 0 2 + 17xy + [10 * -1 + 7xy * -1] = 0 2 + 17xy + [-10 + -7xy] = 0 Reorder the terms: 2 + -10 + 17xy + -7xy = 0 Combine like terms: 2 + -10 = -8 -8 + 17xy + -7xy = 0 Combine like terms: 17xy + -7xy = 10xy -8 + 10xy = 0 Solving -8 + 10xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 10xy = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 10xy = 0 + 8 10xy = 0 + 8 Combine like terms: 0 + 8 = 8 10xy = 8 Divide each side by '10y'. x = 0.8y-1 Simplifying x = 0.8y-1
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