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Simplifying
7x2 + -29 = 15 + -4x2
Reorder the terms:
-29 + 7x2 = 15 + -4x2
Solving
-29 + 7x2 = 15 + -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.
-29 + 7x2 + 4x2 = 15 + -4x2 + 4x2
Combine like terms: 7x2 + 4x2 = 11x2
-29 + 11x2 = 15 + -4x2 + 4x2
Combine like terms: -4x2 + 4x2 = 0
-29 + 11x2 = 15 + 0
-29 + 11x2 = 15
Add '29' to each side of the equation.
-29 + 29 + 11x2 = 15 + 29
Combine like terms: -29 + 29 = 0
0 + 11x2 = 15 + 29
11x2 = 15 + 29
Combine like terms: 15 + 29 = 44
11x2 = 44
Divide each side by '11'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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