(x+4)(x+1)=x*x+59

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Solution for (x+4)(x+1)=x*x+59 equation:


Simplifying
(x + 4)(x + 1) = x * x + 59

Reorder the terms:
(4 + x)(x + 1) = x * x + 59

Reorder the terms:
(4 + x)(1 + x) = x * x + 59

Multiply (4 + x) * (1 + x)
(4(1 + x) + x(1 + x)) = x * x + 59
((1 * 4 + x * 4) + x(1 + x)) = x * x + 59
((4 + 4x) + x(1 + x)) = x * x + 59
(4 + 4x + (1 * x + x * x)) = x * x + 59
(4 + 4x + (1x + x2)) = x * x + 59

Combine like terms: 4x + 1x = 5x
(4 + 5x + x2) = x * x + 59

Multiply x * x
4 + 5x + x2 = x2 + 59

Reorder the terms:
4 + 5x + x2 = 59 + x2

Add '-1x2' to each side of the equation.
4 + 5x + x2 + -1x2 = 59 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 5x + 0 = 59 + x2 + -1x2
4 + 5x = 59 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 5x = 59 + 0
4 + 5x = 59

Solving
4 + 5x = 59

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 59 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 59 + -4
5x = 59 + -4

Combine like terms: 59 + -4 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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