=4x^2-25x+6

Solution for =4x^2-25x+6 equation:

Simplifying
0 = 4x2 + -25x + 6

Reorder the terms:
0 = 6 + -25x + 4x2

Solving
0 = 6 + -25x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + 25x + -4x2 = 6 + -25x + 4x2 + -6 + 25x + -4x2

Reorder the terms:
-6 + 25x + -4x2 = 6 + -6 + -25x + 25x + 4x2 + -4x2

Combine like terms: 6 + -6 = 0
-6 + 25x + -4x2 = 0 + -25x + 25x + 4x2 + -4x2
-6 + 25x + -4x2 = -25x + 25x + 4x2 + -4x2

Combine like terms: -25x + 25x = 0
-6 + 25x + -4x2 = 0 + 4x2 + -4x2
-6 + 25x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6 + 25x + -4x2 = 0

Factor a trinomial.
(-6 + x)(1 + -4x) = 0

Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
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 = {6, 0.25}