(x)(x+2)=15*m^2

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Solution for (x)(x+2)=15*m^2 equation:


Simplifying
(x)(x + 2) = 15m2

Reorder the terms:
x(2 + x) = 15m2
(2 * x + x * x) = 15m2
(2x + x2) = 15m2

Solving
2x + x2 = 15m2

Solving for variable 'x'.

Reorder the terms:
-15m2 + 2x + x2 = 15m2 + -15m2

Combine like terms: 15m2 + -15m2 = 0
-15m2 + 2x + x2 = 0

Factor a trinomial.
(-5m + -1x)(3m + -1x) = 0

Subproblem 1

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

Subproblem 2

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

Solution

x = {-5m, 3m}

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