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Simplifying 3x2 + 7x + -3 = (3x + 1)(x + -1) Reorder the terms: -3 + 7x + 3x2 = (3x + 1)(x + -1) Reorder the terms: -3 + 7x + 3x2 = (1 + 3x)(x + -1) Reorder the terms: -3 + 7x + 3x2 = (1 + 3x)(-1 + x) Multiply (1 + 3x) * (-1 + x) -3 + 7x + 3x2 = (1(-1 + x) + 3x * (-1 + x)) -3 + 7x + 3x2 = ((-1 * 1 + x * 1) + 3x * (-1 + x)) -3 + 7x + 3x2 = ((-1 + 1x) + 3x * (-1 + x)) -3 + 7x + 3x2 = (-1 + 1x + (-1 * 3x + x * 3x)) -3 + 7x + 3x2 = (-1 + 1x + (-3x + 3x2)) Combine like terms: 1x + -3x = -2x -3 + 7x + 3x2 = (-1 + -2x + 3x2) Add '-3x2' to each side of the equation. -3 + 7x + 3x2 + -3x2 = -1 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3 + 7x + 0 = -1 + -2x + 3x2 + -3x2 -3 + 7x = -1 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3 + 7x = -1 + -2x + 0 -3 + 7x = -1 + -2x Solving -3 + 7x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 7x + 2x = -1 + -2x + 2x Combine like terms: 7x + 2x = 9x -3 + 9x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 9x = -1 + 0 -3 + 9x = -1 Add '3' to each side of the equation. -3 + 3 + 9x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = -1 + 3 9x = -1 + 3 Combine like terms: -1 + 3 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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