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Simplifying
3x2 + 5x + -4 = 5x + 104
Reorder the terms:
-4 + 5x + 3x2 = 5x + 104
Reorder the terms:
-4 + 5x + 3x2 = 104 + 5x
Add '-5x' to each side of the equation.
-4 + 5x + -5x + 3x2 = 104 + 5x + -5x
Combine like terms: 5x + -5x = 0
-4 + 0 + 3x2 = 104 + 5x + -5x
-4 + 3x2 = 104 + 5x + -5x
Combine like terms: 5x + -5x = 0
-4 + 3x2 = 104 + 0
-4 + 3x2 = 104
Solving
-4 + 3x2 = 104
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 3x2 = 104 + 4
Combine like terms: -4 + 4 = 0
0 + 3x2 = 104 + 4
3x2 = 104 + 4
Combine like terms: 104 + 4 = 108
3x2 = 108
Divide each side by '3'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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