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Simplifying
40x + 80 = 10(x2 + 4x + 4)
Reorder the terms:
80 + 40x = 10(x2 + 4x + 4)
Reorder the terms:
80 + 40x = 10(4 + 4x + x2)
80 + 40x = (4 * 10 + 4x * 10 + x2 * 10)
80 + 40x = (40 + 40x + 10x2)
Add '-40x' to each side of the equation.
80 + 40x + -40x = 40 + 40x + -40x + 10x2
Combine like terms: 40x + -40x = 0
80 + 0 = 40 + 40x + -40x + 10x2
80 = 40 + 40x + -40x + 10x2
Combine like terms: 40x + -40x = 0
80 = 40 + 0 + 10x2
80 = 40 + 10x2
Solving
80 = 40 + 10x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x2' to each side of the equation.
80 + -10x2 = 40 + 10x2 + -10x2
Combine like terms: 10x2 + -10x2 = 0
80 + -10x2 = 40 + 0
80 + -10x2 = 40
Add '-80' to each side of the equation.
80 + -80 + -10x2 = 40 + -80
Combine like terms: 80 + -80 = 0
0 + -10x2 = 40 + -80
-10x2 = 40 + -80
Combine like terms: 40 + -80 = -40
-10x2 = -40
Divide each side by '-10'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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