5x^2-18x+17=1156

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Solution for 5x^2-18x+17=1156 equation:


Simplifying
5x2 + -18x + 17 = 1156

Reorder the terms:
17 + -18x + 5x2 = 1156

Solving
17 + -18x + 5x2 = 1156

Solving for variable 'x'.

Reorder the terms:
17 + -1156 + -18x + 5x2 = 1156 + -1156

Combine like terms: 17 + -1156 = -1139
-1139 + -18x + 5x2 = 1156 + -1156

Combine like terms: 1156 + -1156 = 0
-1139 + -18x + 5x2 = 0

Factor a trinomial.
(-67 + -5x)(17 + -1x) = 0

Subproblem 1

Set the factor '(-67 + -5x)' equal to zero and attempt to solve: Simplifying -67 + -5x = 0 Solving -67 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + -5x = 0 + 67 Combine like terms: -67 + 67 = 0 0 + -5x = 0 + 67 -5x = 0 + 67 Combine like terms: 0 + 67 = 67 -5x = 67 Divide each side by '-5'. x = -13.4 Simplifying x = -13.4

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 = {-13.4, 17}

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