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Simplifying 6xsq + -1x + -15 = (3x + -5)(2x + 3) Reorder the terms: -15 + 6qsx + -1x = (3x + -5)(2x + 3) Reorder the terms: -15 + 6qsx + -1x = (-5 + 3x)(2x + 3) Reorder the terms: -15 + 6qsx + -1x = (-5 + 3x)(3 + 2x) Multiply (-5 + 3x) * (3 + 2x) -15 + 6qsx + -1x = (-5(3 + 2x) + 3x * (3 + 2x)) -15 + 6qsx + -1x = ((3 * -5 + 2x * -5) + 3x * (3 + 2x)) -15 + 6qsx + -1x = ((-15 + -10x) + 3x * (3 + 2x)) -15 + 6qsx + -1x = (-15 + -10x + (3 * 3x + 2x * 3x)) -15 + 6qsx + -1x = (-15 + -10x + (9x + 6x2)) Combine like terms: -10x + 9x = -1x -15 + 6qsx + -1x = (-15 + -1x + 6x2) Add '15' to each side of the equation. -15 + 6qsx + 15 + -1x = -15 + -1x + 15 + 6x2 Reorder the terms: -15 + 15 + 6qsx + -1x = -15 + -1x + 15 + 6x2 Combine like terms: -15 + 15 = 0 0 + 6qsx + -1x = -15 + -1x + 15 + 6x2 6qsx + -1x = -15 + -1x + 15 + 6x2 Reorder the terms: 6qsx + -1x = -15 + 15 + -1x + 6x2 Combine like terms: -15 + 15 = 0 6qsx + -1x = 0 + -1x + 6x2 6qsx + -1x = -1x + 6x2 Add 'x' to each side of the equation. 6qsx + -1x + x = -1x + x + 6x2 Combine like terms: -1x + x = 0 6qsx + 0 = -1x + x + 6x2 6qsx = -1x + x + 6x2 Combine like terms: -1x + x = 0 6qsx = 0 + 6x2 6qsx = 6x2 Solving 6qsx = 6x2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Divide each side by '6sx'. q = s-1x Simplifying q = s-1x
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