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Simplifying x2 + -1(m + 7) * x + 25 = 0 Reorder the terms: x2 + -1(7 + m) * x + 25 = 0 Reorder the terms for easier multiplication: x2 + -1x(7 + m) + 25 = 0 x2 + (7 * -1x + m * -1x) + 25 = 0 Reorder the terms: x2 + (-1mx + -7x) + 25 = 0 x2 + (-1mx + -7x) + 25 = 0 Reorder the terms: 25 + -1mx + -7x + x2 = 0 Solving 25 + -1mx + -7x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -1mx + -7x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -1mx + -7x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1mx + -7x + x2 = 0 + -25 -1mx + -7x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -1mx + -7x + x2 = -25 Add '7x' to each side of the equation. -1mx + -7x + 7x + x2 = -25 + 7x Combine like terms: -7x + 7x = 0 -1mx + 0 + x2 = -25 + 7x -1mx + x2 = -25 + 7x Add '-1x2' to each side of the equation. -1mx + x2 + -1x2 = -25 + 7x + -1x2 Combine like terms: x2 + -1x2 = 0 -1mx + 0 = -25 + 7x + -1x2 -1mx = -25 + 7x + -1x2 Divide each side by '-1x'. m = 25x-1 + -7 + x Simplifying m = 25x-1 + -7 + x Reorder the terms: m = -7 + 25x-1 + x
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