x^2-18x+70=-7

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Solution for x^2-18x+70=-7 equation:


Simplifying
x2 + -18x + 70 = -7

Reorder the terms:
70 + -18x + x2 = -7

Solving
70 + -18x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
70 + 7 + -18x + x2 = -7 + 7

Combine like terms: 70 + 7 = 77
77 + -18x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
77 + -18x + x2 = 0

Factor a trinomial.
(7 + -1x)(11 + -1x) = 0

Subproblem 1

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11

Solution

x = {7, 11}

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