35m^2+51m-2=5+7m

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Solution for 35m^2+51m-2=5+7m equation:


Simplifying
35m2 + 51m + -2 = 5 + 7m

Reorder the terms:
-2 + 51m + 35m2 = 5 + 7m

Solving
-2 + 51m + 35m2 = 5 + 7m

Solving for variable 'm'.

Reorder the terms:
-2 + -5 + 51m + -7m + 35m2 = 5 + 7m + -5 + -7m

Combine like terms: -2 + -5 = -7
-7 + 51m + -7m + 35m2 = 5 + 7m + -5 + -7m

Combine like terms: 51m + -7m = 44m
-7 + 44m + 35m2 = 5 + 7m + -5 + -7m

Reorder the terms:
-7 + 44m + 35m2 = 5 + -5 + 7m + -7m

Combine like terms: 5 + -5 = 0
-7 + 44m + 35m2 = 0 + 7m + -7m
-7 + 44m + 35m2 = 7m + -7m

Combine like terms: 7m + -7m = 0
-7 + 44m + 35m2 = 0

Factor a trinomial.
(-7 + -5m)(1 + -7m) = 0

Subproblem 1

Set the factor '(-7 + -5m)' equal to zero and attempt to solve: Simplifying -7 + -5m = 0 Solving -7 + -5m = 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 + -5m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5m = 0 + 7 -5m = 0 + 7 Combine like terms: 0 + 7 = 7 -5m = 7 Divide each side by '-5'. m = -1.4 Simplifying m = -1.4

Subproblem 2

Set the factor '(1 + -7m)' equal to zero and attempt to solve: Simplifying 1 + -7m = 0 Solving 1 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7m = 0 + -1 -7m = 0 + -1 Combine like terms: 0 + -1 = -1 -7m = -1 Divide each side by '-7'. m = 0.1428571429 Simplifying m = 0.1428571429

Solution

m = {-1.4, 0.1428571429}

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