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