Algebra Examples

Solve for x 3-2(1-x)<=2
3-2(1-x)2
Step 1
Simplify 3-2(1-x).
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Step 1.1
Simplify each term.
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Step 1.1.1
Apply the distributive property.
3-21-2(-x)2
Step 1.1.2
Multiply -2 by 1.
3-2-2(-x)2
Step 1.1.3
Multiply -1 by -2.
3-2+2x2
3-2+2x2
Step 1.2
Subtract 2 from 3.
1+2x2
1+2x2
Step 2
Move all terms not containing x to the right side of the inequality.
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Step 2.1
Subtract 1 from both sides of the inequality.
2x2-1
Step 2.2
Subtract 1 from 2.
2x1
2x1
Step 3
Divide each term in 2x1 by 2 and simplify.
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Step 3.1
Divide each term in 2x1 by 2.
2x212
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of 2.
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Step 3.2.1.1
Cancel the common factor.
2x212
Step 3.2.1.2
Divide x by 1.
x12
x12
x12
x12
Step 4
The result can be shown in multiple forms.
Inequality Form:
x12
Interval Notation:
(-,12]
3-2(1-x)2
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 [x2  12  π  xdx ]