9x^2+25x-13=-7

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Solution for 9x^2+25x-13=-7 equation:


Simplifying
9x2 + 25x + -13 = -7

Reorder the terms:
-13 + 25x + 9x2 = -7

Solving
-13 + 25x + 9x2 = -7

Solving for variable 'x'.

Reorder the terms:
-13 + 7 + 25x + 9x2 = -7 + 7

Combine like terms: -13 + 7 = -6
-6 + 25x + 9x2 = -7 + 7

Combine like terms: -7 + 7 = 0
-6 + 25x + 9x2 = 0

Factor a trinomial.
(-3 + -1x)(2 + -9x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222

Solution

x = {-3, 0.2222222222}

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