(4x+7)+(-4x^2-4x-5)=

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


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

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

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

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

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

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

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

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

Solving
2 + -4x2 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -4x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4x2 = 0 + -2
-4x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-4x2 = -2

Divide each side by '-4'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}

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