Solve (x 1^2)-(x-1^2)/4

Question

Simplify the expression

\frac{3 x + 1}{4}

Evaluate

(x \times 1^{2}) - \frac{x - 1 ^{2}}{4}

1 raised to any power equals to 1

(x \times 1) - \frac{x - 1 ^{2}}{4}

Any expression multiplied by 1 remains the same

x - \frac{x - 1 ^{2}}{4}

1 raised to any power equals to 1

x - \frac{x - 1}{4}

Reduce fractions to a common denominator

\frac{x \times 4}{4} - \frac{x - 1}{4}

Write all numerators above the common denominator

\frac{x \times 4 - ( x - 1 )}{4}

Use the commutative property to reorder the terms

\frac{4 x - ( x - 1 )}{4}

Solution

More Steps

Evaluate

4 x - (x - 1)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 x - x + 1

Subtract the terms

More Steps

Evaluate

4 x - x

Collect like terms by calculating the sum or difference of their coefficients

(4 - 1) x

Subtract the numbers

3 x

3 x + 1

\frac{3 x + 1}{4}

Show Solution

Find the roots

x = - \frac{1}{3}

Alternative Form

x = - 0. \dot{3}

Evaluate

(x \times 1^{2}) - \frac{x - 1 ^{2}}{4}

To find the roots of the expression,set the expression equal to 0

(x \times 1^{2}) - \frac{x - 1 ^{2}}{4} = 0

1 raised to any power equals to 1

(x \times 1) - \frac{x - 1 ^{2}}{4} = 0

Any expression multiplied by 1 remains the same

x - \frac{x - 1 ^{2}}{4} = 0

1 raised to any power equals to 1

x - \frac{x - 1}{4} = 0

Subtract the terms

More Steps

Simplify

x - \frac{x - 1}{4}

Reduce fractions to a common denominator

\frac{x \times 4}{4} - \frac{x - 1}{4}

Write all numerators above the common denominator

\frac{x \times 4 - ( x - 1 )}{4}

Use the commutative property to reorder the terms

\frac{4 x - ( x - 1 )}{4}

Subtract the terms

More Steps

Evaluate

4 x - (x - 1)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 x - x + 1

Subtract the terms

3 x + 1

\frac{3 x + 1}{4}

\frac{3 x + 1}{4} = 0

Simplify

3 x + 1 = 0

Move the constant to the right side

3 x = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

3 x = - 1

Divide both sides

\frac{3 x}{3} = \frac{- 1}{3}

Divide the numbers

x = \frac{- 1}{3}

Solution

x = - \frac{1}{3}

Alternative Form

x = - 0. \dot{3}

Show Solution