x*x+7*x*x-5=

Solution for x*x+7*x*x-5= equation:

Simplifying
x * x + 7x * x + -5 = 0

Multiply x * x
x2 + 7x * x + -5 = 0

Multiply x * x
x2 + 7x2 + -5 = 0

Reorder the terms:
-5 + x2 + 7x2 = 0

Combine like terms: x2 + 7x2 = 8x2
-5 + 8x2 = 0

Solving
-5 + 8x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 8x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 8x2 = 0 + 5
8x2 = 0 + 5

Combine like terms: 0 + 5 = 5
8x2 = 5

Divide each side by '8'.
x2 = 0.625

Simplifying
x2 = 0.625

Take the square root of each side:
x = {-0.790569415, 0.790569415}