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Simplifying
5x2 + -16 = 4x2 + -7
Reorder the terms:
-16 + 5x2 = 4x2 + -7
Reorder the terms:
-16 + 5x2 = -7 + 4x2
Solving
-16 + 5x2 = -7 + 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.
-16 + 5x2 + -4x2 = -7 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
-16 + 1x2 = -7 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-16 + 1x2 = -7 + 0
-16 + 1x2 = -7
Add '16' to each side of the equation.
-16 + 16 + 1x2 = -7 + 16
Combine like terms: -16 + 16 = 0
0 + 1x2 = -7 + 16
1x2 = -7 + 16
Combine like terms: -7 + 16 = 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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