25*x^2+40*x=180

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Solution for 25*x^2+40*x=180 equation:


Simplifying
25x2 + 40x = 180

Reorder the terms:
40x + 25x2 = 180

Solving
40x + 25x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 40x + 25x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 40x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-36 + 8x + 5x2) = 0

Factor a trinomial.
5((-18 + -5x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-18 + -5x)' equal to zero and attempt to solve: Simplifying -18 + -5x = 0 Solving -18 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 0 + 18 -5x = 0 + 18 Combine like terms: 0 + 18 = 18 -5x = 18 Divide each side by '-5'. x = -3.6 Simplifying x = -3.6

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-3.6, 2}

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