Step-by-step explanation:
Proportion Calculator
3 = x
x 3
Cross multiply:
3 * 3 = x * x
Simplifying
Multiply 3 * 3
9 = x * x
Multiply x * x
9 = x2
Solving
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
9 + -1x2 = x2 + -1x2
Combine like terms: x2 + -1x2 = 0
9 + -1x2 = 0
Add '-9' to each side of the equation.
9 + -9 + -1x2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -1x2 = 0 + -9
-1x2 = 0 + -9
Combine like terms: 0 + -9 = -9
-1x2 = -9
Divide each side by '-1'.
x2 = 9
Take the square root of each side:
x = {-3, 3}
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Answers & Comments
Step-by-step explanation:
Proportion Calculator
3 = x
x 3
Cross multiply:
3 * 3 = x * x
Simplifying
3 * 3 = x * x
Multiply 3 * 3
9 = x * x
Multiply x * x
9 = x2
Solving
9 = x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
9 + -1x2 = x2 + -1x2
Combine like terms: x2 + -1x2 = 0
9 + -1x2 = 0
Add '-9' to each side of the equation.
9 + -9 + -1x2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -1x2 = 0 + -9
-1x2 = 0 + -9
Combine like terms: 0 + -9 = -9
-1x2 = -9
Divide each side by '-1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}