(2x^2+5x-6)-(2x^2+12x+5)=

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


Simplifying
(2x2 + 5x + -6) + -1(2x2 + 12x + 5) = 0

Reorder the terms:
(-6 + 5x + 2x2) + -1(2x2 + 12x + 5) = 0

Remove parenthesis around (-6 + 5x + 2x2)
-6 + 5x + 2x2 + -1(2x2 + 12x + 5) = 0

Reorder the terms:
-6 + 5x + 2x2 + -1(5 + 12x + 2x2) = 0
-6 + 5x + 2x2 + (5 * -1 + 12x * -1 + 2x2 * -1) = 0
-6 + 5x + 2x2 + (-5 + -12x + -2x2) = 0

Reorder the terms:
-6 + -5 + 5x + -12x + 2x2 + -2x2 = 0

Combine like terms: -6 + -5 = -11
-11 + 5x + -12x + 2x2 + -2x2 = 0

Combine like terms: 5x + -12x = -7x
-11 + -7x + 2x2 + -2x2 = 0

Combine like terms: 2x2 + -2x2 = 0
-11 + -7x + 0 = 0
-11 + -7x = 0

Solving
-11 + -7x = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + -7x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -7x = 0 + 11
-7x = 0 + 11

Combine like terms: 0 + 11 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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