32x^2+18x=17

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Solution for 32x^2+18x=17 equation:


Simplifying
32x2 + 18x = 17

Reorder the terms:
18x + 32x2 = 17

Solving
18x + 32x2 = 17

Solving for variable 'x'.

Reorder the terms:
-17 + 18x + 32x2 = 17 + -17

Combine like terms: 17 + -17 = 0
-17 + 18x + 32x2 = 0

Factor a trinomial.
(-17 + -16x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-17 + -16x)' equal to zero and attempt to solve: Simplifying -17 + -16x = 0 Solving -17 + -16x = 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 + -16x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -16x = 0 + 17 -16x = 0 + 17 Combine like terms: 0 + 17 = 17 -16x = 17 Divide each side by '-16'. x = -1.0625 Simplifying x = -1.0625

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-1.0625, 0.5}

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