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Simplifying
5x2 + 7 = 4x2 + 11
Reorder the terms:
7 + 5x2 = 4x2 + 11
Reorder the terms:
7 + 5x2 = 11 + 4x2
Solving
7 + 5x2 = 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.
7 + 5x2 + -4x2 = 11 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
7 + 1x2 = 11 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
7 + 1x2 = 11 + 0
7 + 1x2 = 11
Add '-7' to each side of the equation.
7 + -7 + 1x2 = 11 + -7
Combine like terms: 7 + -7 = 0
0 + 1x2 = 11 + -7
1x2 = 11 + -7
Combine like terms: 11 + -7 = 4
1x2 = 4
Divide each side by '1'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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