(5x^2+2x-6)+(2x^2+2x+15)-(7x^2-14)=

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Solution for (5x^2+2x-6)+(2x^2+2x+15)-(7x^2-14)= equation:


Simplifying
(5x2 + 2x + -6) + (2x2 + 2x + 15) + -1(7x2 + -14) = 0

Reorder the terms:
(-6 + 2x + 5x2) + (2x2 + 2x + 15) + -1(7x2 + -14) = 0

Remove parenthesis around (-6 + 2x + 5x2)
-6 + 2x + 5x2 + (2x2 + 2x + 15) + -1(7x2 + -14) = 0

Reorder the terms:
-6 + 2x + 5x2 + (15 + 2x + 2x2) + -1(7x2 + -14) = 0

Remove parenthesis around (15 + 2x + 2x2)
-6 + 2x + 5x2 + 15 + 2x + 2x2 + -1(7x2 + -14) = 0

Reorder the terms:
-6 + 2x + 5x2 + 15 + 2x + 2x2 + -1(-14 + 7x2) = 0
-6 + 2x + 5x2 + 15 + 2x + 2x2 + (-14 * -1 + 7x2 * -1) = 0
-6 + 2x + 5x2 + 15 + 2x + 2x2 + (14 + -7x2) = 0

Reorder the terms:
-6 + 15 + 14 + 2x + 2x + 5x2 + 2x2 + -7x2 = 0

Combine like terms: -6 + 15 = 9
9 + 14 + 2x + 2x + 5x2 + 2x2 + -7x2 = 0

Combine like terms: 9 + 14 = 23
23 + 2x + 2x + 5x2 + 2x2 + -7x2 = 0

Combine like terms: 2x + 2x = 4x
23 + 4x + 5x2 + 2x2 + -7x2 = 0

Combine like terms: 5x2 + 2x2 = 7x2
23 + 4x + 7x2 + -7x2 = 0

Combine like terms: 7x2 + -7x2 = 0
23 + 4x + 0 = 0
23 + 4x = 0

Solving
23 + 4x = 0

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 4x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 0 + -23
4x = 0 + -23

Combine like terms: 0 + -23 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75

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