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Simplifying
2x + 1 = -0.5x2 + 2x + 1
Reorder the terms:
1 + 2x = -0.5x2 + 2x + 1
Reorder the terms:
1 + 2x = 1 + 2x + -0.5x2
Add '-1' to each side of the equation.
1 + -1 + 2x = 1 + 2x + -1 + -0.5x2
Combine like terms: 1 + -1 = 0
0 + 2x = 1 + 2x + -1 + -0.5x2
2x = 1 + 2x + -1 + -0.5x2
Reorder the terms:
2x = 1 + -1 + 2x + -0.5x2
Combine like terms: 1 + -1 = 0
2x = 0 + 2x + -0.5x2
2x = 2x + -0.5x2
Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x + -0.5x2
Combine like terms: 2x + -2x = 0
0 = 2x + -2x + -0.5x2
Combine like terms: 2x + -2x = 0
0 = 0 + -0.5x2
0 = -0.5x2
Solving
0 = -0.5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.5x2' to each side of the equation.
0 + 0.5x2 = -0.5x2 + 0.5x2
Remove the zero:
0.5x2 = -0.5x2 + 0.5x2
Combine like terms: -0.5x2 + 0.5x2 = 0.0
0.5x2 = 0.0
Divide each side by '0.5'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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