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Simplifying
3x2 + 180 = 4x2 + 11
Reorder the terms:
180 + 3x2 = 4x2 + 11
Reorder the terms:
180 + 3x2 = 11 + 4x2
Solving
180 + 3x2 = 11 + 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.
180 + 3x2 + -4x2 = 11 + 4x2 + -4x2
Combine like terms: 3x2 + -4x2 = -1x2
180 + -1x2 = 11 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
180 + -1x2 = 11 + 0
180 + -1x2 = 11
Add '-180' to each side of the equation.
180 + -180 + -1x2 = 11 + -180
Combine like terms: 180 + -180 = 0
0 + -1x2 = 11 + -180
-1x2 = 11 + -180
Combine like terms: 11 + -180 = -169
-1x2 = -169
Divide each side by '-1'.
x2 = 169
Simplifying
x2 = 169
Take the square root of each side:
x = {-13, 13}
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