70x+4x^2=74

Solution for 70x+4x^2=74 equation:

Simplifying
70x + 4x2 = 74

Solving
70x + 4x2 = 74

Solving for variable 'x'.

Reorder the terms:
-74 + 70x + 4x2 = 74 + -74

Combine like terms: 74 + -74 = 0
-74 + 70x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-37 + 35x + 2x2) = 0

Factor a trinomial.
2((-37 + -2x)(1 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-37 + -2x)' equal to zero and attempt to solve:

Simplifying
-37 + -2x = 0

Solving
-37 + -2x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -2x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -2x = 0 + 37
-2x = 0 + 37

Combine like terms: 0 + 37 = 37
-2x = 37

Divide each side by '-2'.
x = -18.5

Simplifying
x = -18.5
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-18.5, 1}