x^2-7x+10=180

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Solution for x^2-7x+10=180 equation:


Simplifying
x2 + -7x + 10 = 180

Reorder the terms:
10 + -7x + x2 = 180

Solving
10 + -7x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
10 + -180 + -7x + x2 = 180 + -180

Combine like terms: 10 + -180 = -170
-170 + -7x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-170 + -7x + x2 = 0

Factor a trinomial.
(-10 + -1x)(17 + -1x) = 0

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

Solution

x = {-10, 17}

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