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Simplifying
3x2 + 8 = 7x2 + -5
Reorder the terms:
8 + 3x2 = 7x2 + -5
Reorder the terms:
8 + 3x2 = -5 + 7x2
Solving
8 + 3x2 = -5 + 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.
8 + 3x2 + -7x2 = -5 + 7x2 + -7x2
Combine like terms: 3x2 + -7x2 = -4x2
8 + -4x2 = -5 + 7x2 + -7x2
Combine like terms: 7x2 + -7x2 = 0
8 + -4x2 = -5 + 0
8 + -4x2 = -5
Add '-8' to each side of the equation.
8 + -8 + -4x2 = -5 + -8
Combine like terms: 8 + -8 = 0
0 + -4x2 = -5 + -8
-4x2 = -5 + -8
Combine like terms: -5 + -8 = -13
-4x2 = -13
Divide each side by '-4'.
x2 = 3.25
Simplifying
x2 = 3.25
Take the square root of each side:
x = {-1.802775638, 1.802775638}
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