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Simplifying
14x2 + -157 = 333 + 4x2
Reorder the terms:
-157 + 14x2 = 333 + 4x2
Solving
-157 + 14x2 = 333 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-157 + 14x2 + -4x2 = 333 + 4x2 + -4x2
Combine like terms: 14x2 + -4x2 = 10x2
-157 + 10x2 = 333 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-157 + 10x2 = 333 + 0
-157 + 10x2 = 333
Add '157' to each side of the equation.
-157 + 157 + 10x2 = 333 + 157
Combine like terms: -157 + 157 = 0
0 + 10x2 = 333 + 157
10x2 = 333 + 157
Combine like terms: 333 + 157 = 490
10x2 = 490
Divide each side by '10'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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