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Simplifying x(x + -5) + -28 = x2 + 30x + -68 Reorder the terms: x(-5 + x) + -28 = x2 + 30x + -68 (-5 * x + x * x) + -28 = x2 + 30x + -68 (-5x + x2) + -28 = x2 + 30x + -68 Reorder the terms: -28 + -5x + x2 = x2 + 30x + -68 Reorder the terms: -28 + -5x + x2 = -68 + 30x + x2 Add '-1x2' to each side of the equation. -28 + -5x + x2 + -1x2 = -68 + 30x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -28 + -5x + 0 = -68 + 30x + x2 + -1x2 -28 + -5x = -68 + 30x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -28 + -5x = -68 + 30x + 0 -28 + -5x = -68 + 30x Solving -28 + -5x = -68 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -28 + -5x + -30x = -68 + 30x + -30x Combine like terms: -5x + -30x = -35x -28 + -35x = -68 + 30x + -30x Combine like terms: 30x + -30x = 0 -28 + -35x = -68 + 0 -28 + -35x = -68 Add '28' to each side of the equation. -28 + 28 + -35x = -68 + 28 Combine like terms: -28 + 28 = 0 0 + -35x = -68 + 28 -35x = -68 + 28 Combine like terms: -68 + 28 = -40 -35x = -40 Divide each side by '-35'. x = 1.142857143 Simplifying x = 1.142857143
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