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Simplifying 3x2 + -36 = (3x + -2)(x + -2) Reorder the terms: -36 + 3x2 = (3x + -2)(x + -2) Reorder the terms: -36 + 3x2 = (-2 + 3x)(x + -2) Reorder the terms: -36 + 3x2 = (-2 + 3x)(-2 + x) Multiply (-2 + 3x) * (-2 + x) -36 + 3x2 = (-2(-2 + x) + 3x * (-2 + x)) -36 + 3x2 = ((-2 * -2 + x * -2) + 3x * (-2 + x)) -36 + 3x2 = ((4 + -2x) + 3x * (-2 + x)) -36 + 3x2 = (4 + -2x + (-2 * 3x + x * 3x)) -36 + 3x2 = (4 + -2x + (-6x + 3x2)) Combine like terms: -2x + -6x = -8x -36 + 3x2 = (4 + -8x + 3x2) Add '-3x2' to each side of the equation. -36 + 3x2 + -3x2 = 4 + -8x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -36 + 0 = 4 + -8x + 3x2 + -3x2 -36 = 4 + -8x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -36 = 4 + -8x + 0 -36 = 4 + -8x Solving -36 = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -36 + 8x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -36 + 8x = 4 + 0 -36 + 8x = 4 Add '36' to each side of the equation. -36 + 36 + 8x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = 4 + 36 8x = 4 + 36 Combine like terms: 4 + 36 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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