56x^2=29x-3

Solution for 56x^2=29x-3 equation:

Simplifying
56x2 = 29x + -3

Reorder the terms:
56x2 = -3 + 29x

Solving
56x2 = -3 + 29x

Solving for variable 'x'.

Reorder the terms:
3 + -29x + 56x2 = -3 + 29x + 3 + -29x

Reorder the terms:
3 + -29x + 56x2 = -3 + 3 + 29x + -29x

Combine like terms: -3 + 3 = 0
3 + -29x + 56x2 = 0 + 29x + -29x
3 + -29x + 56x2 = 29x + -29x

Combine like terms: 29x + -29x = 0
3 + -29x + 56x2 = 0

Factor a trinomial.
(1 + -7x)(3 + -8x) = 0

Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve:

Simplifying
1 + -7x = 0

Solving
1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429
Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Solution
x = {0.1428571429, 0.375}