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Simplifying
2x + 5 = (x + 1)(x + 1)
Reorder the terms:
5 + 2x = (x + 1)(x + 1)
Reorder the terms:
5 + 2x = (1 + x)(x + 1)
Reorder the terms:
5 + 2x = (1 + x)(1 + x)
Multiply (1 + x) * (1 + x)
5 + 2x = (1(1 + x) + x(1 + x))
5 + 2x = ((1 * 1 + x * 1) + x(1 + x))
5 + 2x = ((1 + 1x) + x(1 + x))
5 + 2x = (1 + 1x + (1 * x + x * x))
5 + 2x = (1 + 1x + (1x + x2))
Combine like terms: 1x + 1x = 2x
5 + 2x = (1 + 2x + x2)
Add '-2x' to each side of the equation.
5 + 2x + -2x = 1 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
5 + 0 = 1 + 2x + -2x + x2
5 = 1 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
5 = 1 + 0 + x2
5 = 1 + x2
Solving
5 = 1 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
5 + -1x2 = 1 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
5 + -1x2 = 1 + 0
5 + -1x2 = 1
Add '-5' to each side of the equation.
5 + -5 + -1x2 = 1 + -5
Combine like terms: 5 + -5 = 0
0 + -1x2 = 1 + -5
-1x2 = 1 + -5
Combine like terms: 1 + -5 = -4
-1x2 = -4
Divide each side by '-1'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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