36=(4x^2)+(10x)

Solution for 36=(4x^2)+(10x) equation:

Simplifying
36 = (4x2) + (10x)

Reorder the terms:
36 = (10x) + (4x2)

Solving
36 = (10x) + (4x2)

Solving for variable 'x'.

Reorder the terms:
36 + (-10x) + (-4x2) = (10x) + (-10x) + (4x2) + (-4x2)

Combine like terms: (10x) + (-10x) = 0
36 + (-10x) + (-4x2) = 0 + (4x2) + (-4x2)
36 + (-10x) + (-4x2) = (4x2) + (-4x2)

Combine like terms: (4x2) + (-4x2) = 0
36 + (-10x) + (-4x2) = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + (-5x) + (-2x2)) = 0

Factor a trinomial.
2((2 + -1x)(9 + 2x)) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
Solution
x = {2, -4.5}