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Simplifying 3x(x + -3) + 5(x + 7) + -1x(x + 1) + -2((x * x) + 7) + 4 = 0 Reorder the terms: 3x(-3 + x) + 5(x + 7) + -1x(x + 1) + -2((x * x) + 7) + 4 = 0 (-3 * 3x + x * 3x) + 5(x + 7) + -1x(x + 1) + -2((x * x) + 7) + 4 = 0 (-9x + 3x2) + 5(x + 7) + -1x(x + 1) + -2((x * x) + 7) + 4 = 0 Reorder the terms: -9x + 3x2 + 5(7 + x) + -1x(x + 1) + -2((x * x) + 7) + 4 = 0 -9x + 3x2 + (7 * 5 + x * 5) + -1x(x + 1) + -2((x * x) + 7) + 4 = 0 -9x + 3x2 + (35 + 5x) + -1x(x + 1) + -2((x * x) + 7) + 4 = 0 Reorder the terms: -9x + 3x2 + 35 + 5x + -1x(1 + x) + -2((x * x) + 7) + 4 = 0 -9x + 3x2 + 35 + 5x + (1 * -1x + x * -1x) + -2((x * x) + 7) + 4 = 0 -9x + 3x2 + 35 + 5x + (-1x + -1x2) + -2((x * x) + 7) + 4 = 0 Multiply x * x -9x + 3x2 + 35 + 5x + -1x + -1x2 + -2((x2) + 7) + 4 = 0 -9x + 3x2 + 35 + 5x + -1x + -1x2 + -2(x2 + 7) + 4 = 0 Reorder the terms: -9x + 3x2 + 35 + 5x + -1x + -1x2 + -2(7 + x2) + 4 = 0 -9x + 3x2 + 35 + 5x + -1x + -1x2 + (7 * -2 + x2 * -2) + 4 = 0 -9x + 3x2 + 35 + 5x + -1x + -1x2 + (-14 + -2x2) + 4 = 0 Reorder the terms: 35 + -14 + 4 + -9x + 5x + -1x + 3x2 + -1x2 + -2x2 = 0 Combine like terms: 35 + -14 = 21 21 + 4 + -9x + 5x + -1x + 3x2 + -1x2 + -2x2 = 0 Combine like terms: 21 + 4 = 25 25 + -9x + 5x + -1x + 3x2 + -1x2 + -2x2 = 0 Combine like terms: -9x + 5x = -4x 25 + -4x + -1x + 3x2 + -1x2 + -2x2 = 0 Combine like terms: -4x + -1x = -5x 25 + -5x + 3x2 + -1x2 + -2x2 = 0 Combine like terms: 3x2 + -1x2 = 2x2 25 + -5x + 2x2 + -2x2 = 0 Combine like terms: 2x2 + -2x2 = 0 25 + -5x + 0 = 0 25 + -5x = 0 Solving 25 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -5x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -5x = 0 + -25 -5x = 0 + -25 Combine like terms: 0 + -25 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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