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Simplifying
24x + 50 = x2 + 24x + -50
Reorder the terms:
50 + 24x = x2 + 24x + -50
Reorder the terms:
50 + 24x = -50 + 24x + x2
Add '-24x' to each side of the equation.
50 + 24x + -24x = -50 + 24x + -24x + x2
Combine like terms: 24x + -24x = 0
50 + 0 = -50 + 24x + -24x + x2
50 = -50 + 24x + -24x + x2
Combine like terms: 24x + -24x = 0
50 = -50 + 0 + x2
50 = -50 + x2
Solving
50 = -50 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
50 + -1x2 = -50 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
50 + -1x2 = -50 + 0
50 + -1x2 = -50
Add '-50' to each side of the equation.
50 + -50 + -1x2 = -50 + -50
Combine like terms: 50 + -50 = 0
0 + -1x2 = -50 + -50
-1x2 = -50 + -50
Combine like terms: -50 + -50 = -100
-1x2 = -100
Divide each side by '-1'.
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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