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Simplifying 7m2 + 53m = -28 Reorder the terms: 53m + 7m2 = -28 Solving 53m + 7m2 = -28 Solving for variable 'm'. Reorder the terms: 28 + 53m + 7m2 = -28 + 28 Combine like terms: -28 + 28 = 0 28 + 53m + 7m2 = 0 Factor a trinomial. (7 + m)(4 + 7m) = 0Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7Subproblem 2
Set the factor '(4 + 7m)' equal to zero and attempt to solve: Simplifying 4 + 7m = 0 Solving 4 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7m = 0 + -4 7m = 0 + -4 Combine like terms: 0 + -4 = -4 7m = -4 Divide each side by '7'. m = -0.5714285714 Simplifying m = -0.5714285714Solution
m = {-7, -0.5714285714}
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