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Simplifying
5x2 + -7 = 7x2 + -17
Reorder the terms:
-7 + 5x2 = 7x2 + -17
Reorder the terms:
-7 + 5x2 = -17 + 7x2
Solving
-7 + 5x2 = -17 + 7x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x2' to each side of the equation.
-7 + 5x2 + -7x2 = -17 + 7x2 + -7x2
Combine like terms: 5x2 + -7x2 = -2x2
-7 + -2x2 = -17 + 7x2 + -7x2
Combine like terms: 7x2 + -7x2 = 0
-7 + -2x2 = -17 + 0
-7 + -2x2 = -17
Add '7' to each side of the equation.
-7 + 7 + -2x2 = -17 + 7
Combine like terms: -7 + 7 = 0
0 + -2x2 = -17 + 7
-2x2 = -17 + 7
Combine like terms: -17 + 7 = -10
-2x2 = -10
Divide each side by '-2'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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