2x^2=17x+55

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Solution for 2x^2=17x+55 equation:


Simplifying
2x2 = 17x + 55

Reorder the terms:
2x2 = 55 + 17x

Solving
2x2 = 55 + 17x

Solving for variable 'x'.

Reorder the terms:
-55 + -17x + 2x2 = 55 + 17x + -55 + -17x

Reorder the terms:
-55 + -17x + 2x2 = 55 + -55 + 17x + -17x

Combine like terms: 55 + -55 = 0
-55 + -17x + 2x2 = 0 + 17x + -17x
-55 + -17x + 2x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
-55 + -17x + 2x2 = 0

Factor a trinomial.
(-5 + -2x)(11 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

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 = {-2.5, 11}

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