5(x+1)3(x-1)=10

Solution for 5(x+1)3(x-1)=10 equation:

Simplifying
5(x + 1) * 3(x + -1) = 10

Reorder the terms:
5(1 + x) * 3(x + -1) = 10

Reorder the terms:
5(1 + x) * 3(-1 + x) = 10

Reorder the terms for easier multiplication:
5 * 3(1 + x)(-1 + x) = 10

Multiply 5 * 3
15(1 + x)(-1 + x) = 10

Multiply (1 + x) * (-1 + x)
15(1(-1 + x) + x(-1 + x)) = 10
15((-1 * 1 + x * 1) + x(-1 + x)) = 10
15((-1 + 1x) + x(-1 + x)) = 10
15(-1 + 1x + (-1 * x + x * x)) = 10
15(-1 + 1x + (-1x + x2)) = 10

Combine like terms: 1x + -1x = 0
15(-1 + 0 + x2) = 10
15(-1 + x2) = 10
(-1 * 15 + x2 * 15) = 10
(-15 + 15x2) = 10

Solving
-15 + 15x2 = 10

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 15x2 = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 15x2 = 10 + 15
15x2 = 10 + 15

Combine like terms: 10 + 15 = 25
15x2 = 25

Divide each side by '15'.
x2 = 1.666666667

Simplifying
x2 = 1.666666667

Take the square root of each side:
x = {-1.290994449, 1.290994449}