(-4x^2+10)-(6x^2-9)=

Solution for (-4x^2+10)-(6x^2-9)= equation:

Simplifying
(-4x2 + 10) + -1(6x2 + -9) = 0

Reorder the terms:
(10 + -4x2) + -1(6x2 + -9) = 0

Remove parenthesis around (10 + -4x2)
10 + -4x2 + -1(6x2 + -9) = 0

Reorder the terms:
10 + -4x2 + -1(-9 + 6x2) = 0
10 + -4x2 + (-9 * -1 + 6x2 * -1) = 0
10 + -4x2 + (9 + -6x2) = 0

Reorder the terms:
10 + 9 + -4x2 + -6x2 = 0

Combine like terms: 10 + 9 = 19
19 + -4x2 + -6x2 = 0

Combine like terms: -4x2 + -6x2 = -10x2
19 + -10x2 = 0

Solving
19 + -10x2 = 0

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -10x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -10x2 = 0 + -19
-10x2 = 0 + -19

Combine like terms: 0 + -19 = -19
-10x2 = -19

Divide each side by '-10'.
x2 = 1.9

Simplifying
x2 = 1.9

Take the square root of each side:
x = {-1.378404875, 1.378404875}