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Simplifying
2x(x) + -30 = 420
Multiply x * x
2x2 + -30 = 420
Reorder the terms:
-30 + 2x2 = 420
Solving
-30 + 2x2 = 420
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + 2x2 = 420 + 30
Combine like terms: -30 + 30 = 0
0 + 2x2 = 420 + 30
2x2 = 420 + 30
Combine like terms: 420 + 30 = 450
2x2 = 450
Divide each side by '2'.
x2 = 225
Simplifying
x2 = 225
Take the square root of each side:
x = {-15, 15}
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