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Simplifying y2(x + 5) + -11y(x + 5) + 28(x + 5) = 0 Reorder the terms: y2(5 + x) + -11y(x + 5) + 28(x + 5) = 0 (5 * y2 + x * y2) + -11y(x + 5) + 28(x + 5) = 0 Reorder the terms: (xy2 + 5y2) + -11y(x + 5) + 28(x + 5) = 0 (xy2 + 5y2) + -11y(x + 5) + 28(x + 5) = 0 Reorder the terms: xy2 + 5y2 + -11y(5 + x) + 28(x + 5) = 0 xy2 + 5y2 + (5 * -11y + x * -11y) + 28(x + 5) = 0 Reorder the terms: xy2 + 5y2 + (-11xy + -55y) + 28(x + 5) = 0 xy2 + 5y2 + (-11xy + -55y) + 28(x + 5) = 0 Reorder the terms: xy2 + 5y2 + -11xy + -55y + 28(5 + x) = 0 xy2 + 5y2 + -11xy + -55y + (5 * 28 + x * 28) = 0 xy2 + 5y2 + -11xy + -55y + (140 + 28x) = 0 Reorder the terms: 140 + 28x + -11xy + xy2 + -55y + 5y2 = 0 Solving 140 + 28x + -11xy + xy2 + -55y + 5y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + 28x + -11xy + xy2 + -55y + -140 + 5y2 = 0 + -140 Reorder the terms: 140 + -140 + 28x + -11xy + xy2 + -55y + 5y2 = 0 + -140 Combine like terms: 140 + -140 = 0 0 + 28x + -11xy + xy2 + -55y + 5y2 = 0 + -140 28x + -11xy + xy2 + -55y + 5y2 = 0 + -140 Combine like terms: 0 + -140 = -140 28x + -11xy + xy2 + -55y + 5y2 = -140 Add '55y' to each side of the equation. 28x + -11xy + xy2 + -55y + 55y + 5y2 = -140 + 55y Combine like terms: -55y + 55y = 0 28x + -11xy + xy2 + 0 + 5y2 = -140 + 55y 28x + -11xy + xy2 + 5y2 = -140 + 55y Add '-5y2' to each side of the equation. 28x + -11xy + xy2 + 5y2 + -5y2 = -140 + 55y + -5y2 Combine like terms: 5y2 + -5y2 = 0 28x + -11xy + xy2 + 0 = -140 + 55y + -5y2 28x + -11xy + xy2 = -140 + 55y + -5y2 Reorder the terms: 140 + 28x + -11xy + xy2 + -55y + 5y2 = -140 + 55y + -5y2 + 140 + -55y + 5y2 Reorder the terms: 140 + 28x + -11xy + xy2 + -55y + 5y2 = -140 + 140 + 55y + -55y + -5y2 + 5y2 Combine like terms: -140 + 140 = 0 140 + 28x + -11xy + xy2 + -55y + 5y2 = 0 + 55y + -55y + -5y2 + 5y2 140 + 28x + -11xy + xy2 + -55y + 5y2 = 55y + -55y + -5y2 + 5y2 Combine like terms: 55y + -55y = 0 140 + 28x + -11xy + xy2 + -55y + 5y2 = 0 + -5y2 + 5y2 140 + 28x + -11xy + xy2 + -55y + 5y2 = -5y2 + 5y2 Combine like terms: -5y2 + 5y2 = 0 140 + 28x + -11xy + xy2 + -55y + 5y2 = 0 The solution to this equation could not be determined.
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