(5x^2+49x-6)-(7x^2+5x-84)=12-2x^2

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Solution for (5x^2+49x-6)-(7x^2+5x-84)=12-2x^2 equation:


Simplifying
(5x2 + 49x + -6) + -1(7x2 + 5x + -84) = 12 + -2x2

Reorder the terms:
(-6 + 49x + 5x2) + -1(7x2 + 5x + -84) = 12 + -2x2

Remove parenthesis around (-6 + 49x + 5x2)
-6 + 49x + 5x2 + -1(7x2 + 5x + -84) = 12 + -2x2

Reorder the terms:
-6 + 49x + 5x2 + -1(-84 + 5x + 7x2) = 12 + -2x2
-6 + 49x + 5x2 + (-84 * -1 + 5x * -1 + 7x2 * -1) = 12 + -2x2
-6 + 49x + 5x2 + (84 + -5x + -7x2) = 12 + -2x2

Reorder the terms:
-6 + 84 + 49x + -5x + 5x2 + -7x2 = 12 + -2x2

Combine like terms: -6 + 84 = 78
78 + 49x + -5x + 5x2 + -7x2 = 12 + -2x2

Combine like terms: 49x + -5x = 44x
78 + 44x + 5x2 + -7x2 = 12 + -2x2

Combine like terms: 5x2 + -7x2 = -2x2
78 + 44x + -2x2 = 12 + -2x2

Add '2x2' to each side of the equation.
78 + 44x + -2x2 + 2x2 = 12 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
78 + 44x + 0 = 12 + -2x2 + 2x2
78 + 44x = 12 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
78 + 44x = 12 + 0
78 + 44x = 12

Solving
78 + 44x = 12

Solving for variable 'x'.

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

Add '-78' to each side of the equation.
78 + -78 + 44x = 12 + -78

Combine like terms: 78 + -78 = 0
0 + 44x = 12 + -78
44x = 12 + -78

Combine like terms: 12 + -78 = -66
44x = -66

Divide each side by '44'.
x = -1.5

Simplifying
x = -1.5

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