(-x^2-4x+7)-(-4x^2-4x+4)+(-3x^2+5x+6)=0

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Solution for (-x^2-4x+7)-(-4x^2-4x+4)+(-3x^2+5x+6)=0 equation: 


Simplifying
(-1x2 + -4x + 7) + -1(-4x2 + -4x + 4) + (-3x2 + 5x + 6) = 0

Reorder the terms:
(7 + -4x + -1x2) + -1(-4x2 + -4x + 4) + (-3x2 + 5x + 6) = 0

Remove parenthesis around (7 + -4x + -1x2)
7 + -4x + -1x2 + -1(-4x2 + -4x + 4) + (-3x2 + 5x + 6) = 0

Reorder the terms:
7 + -4x + -1x2 + -1(4 + -4x + -4x2) + (-3x2 + 5x + 6) = 0
7 + -4x + -1x2 + (4 * -1 + -4x * -1 + -4x2 * -1) + (-3x2 + 5x + 6) = 0
7 + -4x + -1x2 + (-4 + 4x + 4x2) + (-3x2 + 5x + 6) = 0

Reorder the terms:
7 + -4x + -1x2 + -4 + 4x + 4x2 + (6 + 5x + -3x2) = 0

Remove parenthesis around (6 + 5x + -3x2)
7 + -4x + -1x2 + -4 + 4x + 4x2 + 6 + 5x + -3x2 = 0

Reorder the terms:
7 + -4 + 6 + -4x + 4x + 5x + -1x2 + 4x2 + -3x2 = 0

Combine like terms: 7 + -4 = 3
3 + 6 + -4x + 4x + 5x + -1x2 + 4x2 + -3x2 = 0

Combine like terms: 3 + 6 = 9
9 + -4x + 4x + 5x + -1x2 + 4x2 + -3x2 = 0

Combine like terms: -4x + 4x = 0
9 + 0 + 5x + -1x2 + 4x2 + -3x2 = 0
9 + 5x + -1x2 + 4x2 + -3x2 = 0

Combine like terms: -1x2 + 4x2 = 3x2
9 + 5x + 3x2 + -3x2 = 0

Combine like terms: 3x2 + -3x2 = 0
9 + 5x + 0 = 0
9 + 5x = 0

Solving
9 + 5x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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