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Simplifying
(x + 3)(x + 3) = 6x + 14
Reorder the terms:
(3 + x)(x + 3) = 6x + 14
Reorder the terms:
(3 + x)(3 + x) = 6x + 14
Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = 6x + 14
((3 * 3 + x * 3) + x(3 + x)) = 6x + 14
((9 + 3x) + x(3 + x)) = 6x + 14
(9 + 3x + (3 * x + x * x)) = 6x + 14
(9 + 3x + (3x + x2)) = 6x + 14
Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = 6x + 14
Reorder the terms:
9 + 6x + x2 = 14 + 6x
Add '-6x' to each side of the equation.
9 + 6x + -6x + x2 = 14 + 6x + -6x
Combine like terms: 6x + -6x = 0
9 + 0 + x2 = 14 + 6x + -6x
9 + x2 = 14 + 6x + -6x
Combine like terms: 6x + -6x = 0
9 + x2 = 14 + 0
9 + x2 = 14
Solving
9 + x2 = 14
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 = 14 + -9
Combine like terms: 9 + -9 = 0
0 + x2 = 14 + -9
x2 = 14 + -9
Combine like terms: 14 + -9 = 5
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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