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Simplifying 8x(x + 1) + -9x = 2x(2x + -5) + 4(x2 + 9) Reorder the terms: 8x(1 + x) + -9x = 2x(2x + -5) + 4(x2 + 9) (1 * 8x + x * 8x) + -9x = 2x(2x + -5) + 4(x2 + 9) (8x + 8x2) + -9x = 2x(2x + -5) + 4(x2 + 9) Reorder the terms: 8x + -9x + 8x2 = 2x(2x + -5) + 4(x2 + 9) Combine like terms: 8x + -9x = -1x -1x + 8x2 = 2x(2x + -5) + 4(x2 + 9) Reorder the terms: -1x + 8x2 = 2x(-5 + 2x) + 4(x2 + 9) -1x + 8x2 = (-5 * 2x + 2x * 2x) + 4(x2 + 9) -1x + 8x2 = (-10x + 4x2) + 4(x2 + 9) Reorder the terms: -1x + 8x2 = -10x + 4x2 + 4(9 + x2) -1x + 8x2 = -10x + 4x2 + (9 * 4 + x2 * 4) -1x + 8x2 = -10x + 4x2 + (36 + 4x2) Reorder the terms: -1x + 8x2 = 36 + -10x + 4x2 + 4x2 Combine like terms: 4x2 + 4x2 = 8x2 -1x + 8x2 = 36 + -10x + 8x2 Add '-8x2' to each side of the equation. -1x + 8x2 + -8x2 = 36 + -10x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1x + 0 = 36 + -10x + 8x2 + -8x2 -1x = 36 + -10x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1x = 36 + -10x + 0 -1x = 36 + -10x Solving -1x = 36 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -1x + 10x = 36 + -10x + 10x Combine like terms: -1x + 10x = 9x 9x = 36 + -10x + 10x Combine like terms: -10x + 10x = 0 9x = 36 + 0 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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