4(x^2+4x+4)-(4x^2-4x+1)=-5

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Solution for 4(x^2+4x+4)-(4x^2-4x+1)=-5 equation:


Simplifying
4(x2 + 4x + 4) + -1(4x2 + -4x + 1) = -5

Reorder the terms:
4(4 + 4x + x2) + -1(4x2 + -4x + 1) = -5
(4 * 4 + 4x * 4 + x2 * 4) + -1(4x2 + -4x + 1) = -5
(16 + 16x + 4x2) + -1(4x2 + -4x + 1) = -5

Reorder the terms:
16 + 16x + 4x2 + -1(1 + -4x + 4x2) = -5
16 + 16x + 4x2 + (1 * -1 + -4x * -1 + 4x2 * -1) = -5
16 + 16x + 4x2 + (-1 + 4x + -4x2) = -5

Reorder the terms:
16 + -1 + 16x + 4x + 4x2 + -4x2 = -5

Combine like terms: 16 + -1 = 15
15 + 16x + 4x + 4x2 + -4x2 = -5

Combine like terms: 16x + 4x = 20x
15 + 20x + 4x2 + -4x2 = -5

Combine like terms: 4x2 + -4x2 = 0
15 + 20x + 0 = -5
15 + 20x = -5

Solving
15 + 20x = -5

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 20x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 20x = -5 + -15
20x = -5 + -15

Combine like terms: -5 + -15 = -20
20x = -20

Divide each side by '20'.
x = -1

Simplifying
x = -1

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