4x^2-7x+3.1=5.1

Solution for 4x^2-7x+3.1=5.1 equation:

Simplifying
4x2 + -7x + 3.1 = 5.1

Reorder the terms:
3.1 + -7x + 4x2 = 5.1

Solving
3.1 + -7x + 4x2 = 5.1

Solving for variable 'x'.

Reorder the terms:
3.1 + -5.1 + -7x + 4x2 = 5.1 + -5.1

Combine like terms: 3.1 + -5.1 = -2
-2 + -7x + 4x2 = 5.1 + -5.1

Combine like terms: 5.1 + -5.1 = 0.0
-2 + -7x + 4x2 = 0.0

Factor a trinomial.
(-1 + -4x)(2 + -1x) = 0.0

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 '(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
Solution
x = {-0.25, 2}