3(x^2)=13x-4

Solution for 3(x^2)=13x-4 equation:

Simplifying
3(x2) = 13x + -4

Reorder the terms:
3x2 = -4 + 13x

Solving
3x2 = -4 + 13x

Solving for variable 'x'.

Reorder the terms:
4 + -13x + 3x2 = -4 + 13x + 4 + -13x

Reorder the terms:
4 + -13x + 3x2 = -4 + 4 + 13x + -13x

Combine like terms: -4 + 4 = 0
4 + -13x + 3x2 = 0 + 13x + -13x
4 + -13x + 3x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
4 + -13x + 3x2 = 0

Factor a trinomial.
(1 + -3x)(4 + -1x) = 0

Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
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 = {0.3333333333, 4}