0=4x^2-15x-4

Solution for 0=4x^2-15x-4 equation:

Simplifying
0 = 4x2 + -15x + -4

Reorder the terms:
0 = -4 + -15x + 4x2

Solving
0 = -4 + -15x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 4 = 4
4 + 15x + -4x2 = -4 + -15x + 4x2 + 4 + 15x + -4x2

Reorder the terms:
4 + 15x + -4x2 = -4 + 4 + -15x + 15x + 4x2 + -4x2

Combine like terms: -4 + 4 = 0
4 + 15x + -4x2 = 0 + -15x + 15x + 4x2 + -4x2
4 + 15x + -4x2 = -15x + 15x + 4x2 + -4x2

Combine like terms: -15x + 15x = 0
4 + 15x + -4x2 = 0 + 4x2 + -4x2
4 + 15x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + 15x + -4x2 = 0

Factor a trinomial.
(4 + -1x)(1 + 4x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {4, -0.25}