-90-74x=x-35x^2

Solution for -90-74x=x-35x^2 equation:

Simplifying
-90 + -74x = x + -35x2

Solving
-90 + -74x = x + -35x2

Solving for variable 'x'.

Combine like terms: -74x + -1x = -75x
-90 + -75x + 35x2 = x + -35x2 + -1x + 35x2

Reorder the terms:
-90 + -75x + 35x2 = x + -1x + -35x2 + 35x2

Combine like terms: x + -1x = 0
-90 + -75x + 35x2 = 0 + -35x2 + 35x2
-90 + -75x + 35x2 = -35x2 + 35x2

Combine like terms: -35x2 + 35x2 = 0
-90 + -75x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -15x + 7x2) = 0

Factor a trinomial.
5((-6 + -7x)(3 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -7x)' equal to zero and attempt to solve:

Simplifying
-6 + -7x = 0

Solving
-6 + -7x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 0 + 6
-7x = 0 + 6

Combine like terms: 0 + 6 = 6
-7x = 6

Divide each side by '-7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.8571428571, 3}