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Simplifying
x2 + 38 = 3x2 + -12
Reorder the terms:
38 + x2 = 3x2 + -12
Reorder the terms:
38 + x2 = -12 + 3x2
Solving
38 + x2 = -12 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
38 + x2 + -3x2 = -12 + 3x2 + -3x2
Combine like terms: x2 + -3x2 = -2x2
38 + -2x2 = -12 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
38 + -2x2 = -12 + 0
38 + -2x2 = -12
Add '-38' to each side of the equation.
38 + -38 + -2x2 = -12 + -38
Combine like terms: 38 + -38 = 0
0 + -2x2 = -12 + -38
-2x2 = -12 + -38
Combine like terms: -12 + -38 = -50
-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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