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Simplifying (2m + -1) * x2 + Mx + 15 = 0 Reorder the terms: (-1 + 2m) * x2 + Mx + 15 = 0 Reorder the terms for easier multiplication: x2(-1 + 2m) + Mx + 15 = 0 (-1 * x2 + 2m * x2) + Mx + 15 = 0 Reorder the terms: (2mx2 + -1x2) + Mx + 15 = 0 (2mx2 + -1x2) + Mx + 15 = 0 Reorder the terms: 15 + 2mx2 + xM + -1x2 = 0 Solving 15 + 2mx2 + xM + -1x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 2mx2 + xM + -15 + -1x2 = 0 + -15 Reorder the terms: 15 + -15 + 2mx2 + xM + -1x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2mx2 + xM + -1x2 = 0 + -15 2mx2 + xM + -1x2 = 0 + -15 Combine like terms: 0 + -15 = -15 2mx2 + xM + -1x2 = -15 Add '-1xM' to each side of the equation. 2mx2 + xM + -1xM + -1x2 = -15 + -1xM Combine like terms: xM + -1xM = 0 2mx2 + 0 + -1x2 = -15 + -1xM 2mx2 + -1x2 = -15 + -1xM Add 'x2' to each side of the equation. 2mx2 + -1x2 + x2 = -15 + -1xM + x2 Combine like terms: -1x2 + x2 = 0 2mx2 + 0 = -15 + -1xM + x2 2mx2 = -15 + -1xM + x2 Divide each side by '2x2'. m = -7.5x-2 + -0.5x-1M + 0.5 Simplifying m = -7.5x-2 + -0.5x-1M + 0.5 Reorder the terms: m = 0.5 + -7.5x-2 + -0.5x-1M
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