40x^2-293x+91=0

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Solution for 40x^2-293x+91=0 equation: 


Simplifying
40x2 + -293x + 91 = 0

Reorder the terms:
91 + -293x + 40x2 = 0

Solving
91 + -293x + 40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(13 + -40x)(7 + -1x) = 0


Subproblem 1
Set the factor '(13 + -40x)' equal to zero and attempt to solve:

Simplifying
13 + -40x = 0

Solving
13 + -40x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -40x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -40x = 0 + -13
-40x = 0 + -13

Combine like terms: 0 + -13 = -13
-40x = -13

Divide each side by '-40'.
x = 0.325

Simplifying
x = 0.325

Subproblem 2
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
Solution
x = {0.325, 7}

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