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Simplifying
x(x + 4) + 9 = 4x + 10
Reorder the terms:
x(4 + x) + 9 = 4x + 10
(4 * x + x * x) + 9 = 4x + 10
(4x + x2) + 9 = 4x + 10
Reorder the terms:
9 + 4x + x2 = 4x + 10
Reorder the terms:
9 + 4x + x2 = 10 + 4x
Add '-4x' to each side of the equation.
9 + 4x + -4x + x2 = 10 + 4x + -4x
Combine like terms: 4x + -4x = 0
9 + 0 + x2 = 10 + 4x + -4x
9 + x2 = 10 + 4x + -4x
Combine like terms: 4x + -4x = 0
9 + x2 = 10 + 0
9 + x2 = 10
Solving
9 + x2 = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + x2 = 10 + -9
Combine like terms: 9 + -9 = 0
0 + x2 = 10 + -9
x2 = 10 + -9
Combine like terms: 10 + -9 = 1
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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