4x^2+26x=30

Solution for 4x^2+26x=30 equation:

Simplifying
4x2 + 26x = 30

Reorder the terms:
26x + 4x2 = 30

Solving
26x + 4x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + 26x + 4x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 26x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 13x + 2x2) = 0

Factor a trinomial.
2((-15 + -2x)(1 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve:

Simplifying
-15 + -2x = 0

Solving
-15 + -2x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -2x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 0 + 15
-2x = 0 + 15

Combine like terms: 0 + 15 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5
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 = {-7.5, 1}