(-7x^2+3)+(4x^2+1)=

Solution for (-7x^2+3)+(4x^2+1)= equation:

Simplifying
(-7x2 + 3) + (4x2 + 1) = 0

Reorder the terms:
(3 + -7x2) + (4x2 + 1) = 0

Remove parenthesis around (3 + -7x2)
3 + -7x2 + (4x2 + 1) = 0

Reorder the terms:
3 + -7x2 + (1 + 4x2) = 0

Remove parenthesis around (1 + 4x2)
3 + -7x2 + 1 + 4x2 = 0

Reorder the terms:
3 + 1 + -7x2 + 4x2 = 0

Combine like terms: 3 + 1 = 4
4 + -7x2 + 4x2 = 0

Combine like terms: -7x2 + 4x2 = -3x2
4 + -3x2 = 0

Solving
4 + -3x2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -3x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x2 = 0 + -4
-3x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3x2 = -4

Divide each side by '-3'.
x2 = 1.333333333

Simplifying
x2 = 1.333333333

Take the square root of each side:
x = {-1.154700538, 1.154700538}