4M^2-8M-70=-10

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Solution for 4M^2-8M-70=-10 equation:


Simplifying
4M2 + -8M + -70 = -10

Reorder the terms:
-70 + -8M + 4M2 = -10

Solving
-70 + -8M + 4M2 = -10

Solving for variable 'M'.

Reorder the terms:
-70 + 10 + -8M + 4M2 = -10 + 10

Combine like terms: -70 + 10 = -60
-60 + -8M + 4M2 = -10 + 10

Combine like terms: -10 + 10 = 0
-60 + -8M + 4M2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -2M + M2) = 0

Factor a trinomial.
4((-3 + -1M)(5 + -1M)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + -1M)' equal to zero and attempt to solve: Simplifying -3 + -1M = 0 Solving -3 + -1M = 0 Move all terms containing M to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1M = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1M = 0 + 3 -1M = 0 + 3 Combine like terms: 0 + 3 = 3 -1M = 3 Divide each side by '-1'. M = -3 Simplifying M = -3

Subproblem 2

Set the factor '(5 + -1M)' equal to zero and attempt to solve: Simplifying 5 + -1M = 0 Solving 5 + -1M = 0 Move all terms containing M to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1M = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1M = 0 + -5 -1M = 0 + -5 Combine like terms: 0 + -5 = -5 -1M = -5 Divide each side by '-1'. M = 5 Simplifying M = 5

Solution

M = {-3, 5}

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