4x^2=15x+4

Solution for 4x^2=15x+4 equation:

Simplifying
4x2 = 15x + 4

Reorder the terms:
4x2 = 4 + 15x

Solving
4x2 = 4 + 15x

Solving for variable 'x'.

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

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

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

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

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-0.25, 4}