5(x+1)(x-1)+1=4x^2

Solution for 5(x+1)(x-1)+1=4x^2 equation:

Simplifying
5(x + 1)(x + -1) + 1 = 4x2

Reorder the terms:
5(1 + x)(x + -1) + 1 = 4x2

Reorder the terms:
5(1 + x)(-1 + x) + 1 = 4x2

Multiply (1 + x) * (-1 + x)
5(1(-1 + x) + x(-1 + x)) + 1 = 4x2
5((-1 * 1 + x * 1) + x(-1 + x)) + 1 = 4x2
5((-1 + 1x) + x(-1 + x)) + 1 = 4x2
5(-1 + 1x + (-1 * x + x * x)) + 1 = 4x2
5(-1 + 1x + (-1x + x2)) + 1 = 4x2

Combine like terms: 1x + -1x = 0
5(-1 + 0 + x2) + 1 = 4x2
5(-1 + x2) + 1 = 4x2
(-1 * 5 + x2 * 5) + 1 = 4x2
(-5 + 5x2) + 1 = 4x2

Reorder the terms:
-5 + 1 + 5x2 = 4x2

Combine like terms: -5 + 1 = -4
-4 + 5x2 = 4x2

Solving
-4 + 5x2 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
-4 + 5x2 + -4x2 = 4x2 + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
-4 + 1x2 = 4x2 + -4x2

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

Add '4' to each side of the equation.
-4 + 4 + 1x2 = 0 + 4

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

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

Divide each side by '1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}