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Simplifying
5(x2 + 7) = 4(x2 + 11)
Reorder the terms:
5(7 + x2) = 4(x2 + 11)
(7 * 5 + x2 * 5) = 4(x2 + 11)
(35 + 5x2) = 4(x2 + 11)
Reorder the terms:
35 + 5x2 = 4(11 + x2)
35 + 5x2 = (11 * 4 + x2 * 4)
35 + 5x2 = (44 + 4x2)
Solving
35 + 5x2 = 44 + 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.
35 + 5x2 + -4x2 = 44 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
35 + 1x2 = 44 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
35 + 1x2 = 44 + 0
35 + 1x2 = 44
Add '-35' to each side of the equation.
35 + -35 + 1x2 = 44 + -35
Combine like terms: 35 + -35 = 0
0 + 1x2 = 44 + -35
1x2 = 44 + -35
Combine like terms: 44 + -35 = 9
1x2 = 9
Divide each side by '1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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