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Simplifying
x(2x + 3) = 3x + 50
Reorder the terms:
x(3 + 2x) = 3x + 50
(3 * x + 2x * x) = 3x + 50
(3x + 2x2) = 3x + 50
Reorder the terms:
3x + 2x2 = 50 + 3x
Add '-3x' to each side of the equation.
3x + -3x + 2x2 = 50 + 3x + -3x
Combine like terms: 3x + -3x = 0
0 + 2x2 = 50 + 3x + -3x
2x2 = 50 + 3x + -3x
Combine like terms: 3x + -3x = 0
2x2 = 50 + 0
2x2 = 50
Solving
2x2 = 50
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '2'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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