4x*x+1=15

Solution for 4x*x+1=15 equation:

Simplifying
4x * x + 1 = 15

Multiply x * x
4x2 + 1 = 15

Reorder the terms:
1 + 4x2 = 15

Solving
1 + 4x2 = 15

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 4x2 = 15 + -1

Combine like terms: 1 + -1 = 0
0 + 4x2 = 15 + -1
4x2 = 15 + -1

Combine like terms: 15 + -1 = 14
4x2 = 14

Divide each side by '4'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}