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Simplifying
5(x + 4) = x(x + 5)
Reorder the terms:
5(4 + x) = x(x + 5)
(4 * 5 + x * 5) = x(x + 5)
(20 + 5x) = x(x + 5)
Reorder the terms:
20 + 5x = x(5 + x)
20 + 5x = (5 * x + x * x)
20 + 5x = (5x + x2)
Add '-5x' to each side of the equation.
20 + 5x + -5x = 5x + -5x + x2
Combine like terms: 5x + -5x = 0
20 + 0 = 5x + -5x + x2
20 = 5x + -5x + x2
Combine like terms: 5x + -5x = 0
20 = 0 + x2
20 = x2
Solving
20 = 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.
20 + -1x2 = x2 + -1x2
Combine like terms: x2 + -1x2 = 0
20 + -1x2 = 0
Add '-20' to each side of the equation.
20 + -20 + -1x2 = 0 + -20
Combine like terms: 20 + -20 = 0
0 + -1x2 = 0 + -20
-1x2 = 0 + -20
Combine like terms: 0 + -20 = -20
-1x2 = -20
Divide each side by '-1'.
x2 = 20
Simplifying
x2 = 20
Take the square root of each side:
x = {-4.472135955, 4.472135955}
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