2x*x-17x=-36

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Solution for 2x*x-17x=-36 equation:


Simplifying
2x * x + -17x = -36

Multiply x * x
2x2 + -17x = -36

Reorder the terms:
-17x + 2x2 = -36

Solving
-17x + 2x2 = -36

Solving for variable 'x'.

Reorder the terms:
36 + -17x + 2x2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + -17x + 2x2 = 0

Factor a trinomial.
(4 + -1x)(9 + -2x) = 0

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5

Solution

x = {4, 4.5}

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