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Simplifying
2x2 + 1.5x + 1 = 5 + 1.5x
Reorder the terms:
1 + 1.5x + 2x2 = 5 + 1.5x
Add '-1.5x' to each side of the equation.
1 + 1.5x + -1.5x + 2x2 = 5 + 1.5x + -1.5x
Combine like terms: 1.5x + -1.5x = 0.0
1 + 0.0 + 2x2 = 5 + 1.5x + -1.5x
1 + 2x2 = 5 + 1.5x + -1.5x
Combine like terms: 1.5x + -1.5x = 0.0
1 + 2x2 = 5 + 0.0
1 + 2x2 = 5
Solving
1 + 2x2 = 5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 2x2 = 5 + -1
Combine like terms: 1 + -1 = 0
0 + 2x2 = 5 + -1
2x2 = 5 + -1
Combine like terms: 5 + -1 = 4
2x2 = 4
Divide each side by '2'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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