6(-4)+3(2)-x^2=x^2+2-70

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Solution for 6(-4)+3(2)-x^2=x^2+2-70 equation:


Simplifying
6(-4) + 3(2) + -1x2 = x2 + 2 + -70

Multiply 6 * -4
-24 + 3(2) + -1x2 = x2 + 2 + -70

Multiply 3 * 2
-24 + 6 + -1x2 = x2 + 2 + -70

Combine like terms: -24 + 6 = -18
-18 + -1x2 = x2 + 2 + -70

Reorder the terms:
-18 + -1x2 = 2 + -70 + x2

Combine like terms: 2 + -70 = -68
-18 + -1x2 = -68 + x2

Solving
-18 + -1x2 = -68 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-18 + -1x2 + -1x2 = -68 + x2 + -1x2

Combine like terms: -1x2 + -1x2 = -2x2
-18 + -2x2 = -68 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + -2x2 = -68 + 0
-18 + -2x2 = -68

Add '18' to each side of the equation.
-18 + 18 + -2x2 = -68 + 18

Combine like terms: -18 + 18 = 0
0 + -2x2 = -68 + 18
-2x2 = -68 + 18

Combine like terms: -68 + 18 = -50
-2x2 = -50

Divide each side by '-2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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