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Simplifying
7x2 + -100 = 188 + 5x2
Reorder the terms:
-100 + 7x2 = 188 + 5x2
Solving
-100 + 7x2 = 188 + 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
-100 + 7x2 + -5x2 = 188 + 5x2 + -5x2
Combine like terms: 7x2 + -5x2 = 2x2
-100 + 2x2 = 188 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
-100 + 2x2 = 188 + 0
-100 + 2x2 = 188
Add '100' to each side of the equation.
-100 + 100 + 2x2 = 188 + 100
Combine like terms: -100 + 100 = 0
0 + 2x2 = 188 + 100
2x2 = 188 + 100
Combine like terms: 188 + 100 = 288
2x2 = 288
Divide each side by '2'.
x2 = 144
Simplifying
x2 = 144
Take the square root of each side:
x = {-12, 12}
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