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Simplifying
12x2 + 5x + -75 = 5x
Reorder the terms:
-75 + 5x + 12x2 = 5x
Add '-5x' to each side of the equation.
-75 + 5x + -5x + 12x2 = 5x + -5x
Combine like terms: 5x + -5x = 0
-75 + 0 + 12x2 = 5x + -5x
-75 + 12x2 = 5x + -5x
Combine like terms: 5x + -5x = 0
-75 + 12x2 = 0
Solving
-75 + 12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '75' to each side of the equation.
-75 + 75 + 12x2 = 0 + 75
Combine like terms: -75 + 75 = 0
0 + 12x2 = 0 + 75
12x2 = 0 + 75
Combine like terms: 0 + 75 = 75
12x2 = 75
Divide each side by '12'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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