(x+4)(x+4)+(-30)=x^2+5x+4

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Solution for (x+4)(x+4)+(-30)=x^2+5x+4 equation: 


Simplifying
(x + 4)(x + 4) + (-30) = x2 + 5x + 4

Reorder the terms:
(4 + x)(x + 4) + (-30) = x2 + 5x + 4

Reorder the terms:
(4 + x)(4 + x) + (-30) = x2 + 5x + 4

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) + (-30) = x2 + 5x + 4
((4 * 4 + x * 4) + x(4 + x)) + (-30) = x2 + 5x + 4
((16 + 4x) + x(4 + x)) + (-30) = x2 + 5x + 4
(16 + 4x + (4 * x + x * x)) + (-30) = x2 + 5x + 4
(16 + 4x + (4x + x2)) + (-30) = x2 + 5x + 4

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) + (-30) = x2 + 5x + 4
16 + 8x + x2 + -30 = x2 + 5x + 4

Reorder the terms:
16 + -30 + 8x + x2 = x2 + 5x + 4

Combine like terms: 16 + -30 = -14
-14 + 8x + x2 = x2 + 5x + 4

Reorder the terms:
-14 + 8x + x2 = 4 + 5x + x2

Add '-1x2' to each side of the equation.
-14 + 8x + x2 + -1x2 = 4 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + 8x + 0 = 4 + 5x + x2 + -1x2
-14 + 8x = 4 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + 8x = 4 + 5x + 0
-14 + 8x = 4 + 5x

Solving
-14 + 8x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + 8x + -5x = 4 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-14 + 3x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 3x = 4 + 0
-14 + 3x = 4

Add '14' to each side of the equation.
-14 + 14 + 3x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 4 + 14
3x = 4 + 14

Combine like terms: 4 + 14 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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