14x^2+4=15x

Solution for 14x^2+4=15x equation:

Simplifying
14x2 + 4 = 15x

Reorder the terms:
4 + 14x2 = 15x

Solving
4 + 14x2 = 15x

Solving for variable 'x'.

Reorder the terms:
4 + -15x + 14x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
4 + -15x + 14x2 = 0

Factor a trinomial.
(1 + -2x)(4 + -7x) = 0

Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {0.5, 0.5714285714}