Solve 10⋅22x-1-2⋅22x-1

Question

Simplify the expression

176 x - 2

Evaluate

10 \times 22 x - 1 - 2 \times 22 x - 1

Multiply the terms

220 x - 1 - 2 \times 22 x - 1

Multiply the terms

220 x - 1 - 44 x - 1

Subtract the terms

More Steps

Evaluate

220 x - 44 x

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

(220 - 44) x

Subtract the numbers

176 x

176 x - 1 - 1

Solution

176 x - 2

Show Solution

Factor the expression

2 (88 x - 1)

Evaluate

10 \times 22 x - 1 - 2 \times 22 x - 1

Multiply the terms

220 x - 1 - 2 \times 22 x - 1

Multiply the terms

220 x - 1 - 44 x - 1

Subtract the terms

More Steps

Simplify

220 x - 1 - 44 x

Subtract the terms

More Steps

Evaluate

220 x - 44 x

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

(220 - 44) x

Subtract the numbers

176 x

176 x - 1

176 x - 1 - 1

Subtract the numbers

176 x - 2

Solution

2 (88 x - 1)

Show Solution

Find the roots

x = \frac{1}{88}

Alternative Form

x = 0.011 \dot{3} \dot{6}

Evaluate

10 \times 22 x - 1 - 2 \times 22 x - 1

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

10 \times 22 x - 1 - 2 \times 22 x - 1 = 0

Multiply the terms

220 x - 1 - 2 \times 22 x - 1 = 0

Multiply the terms

220 x - 1 - 44 x - 1 = 0

Subtract the terms

More Steps

Simplify

220 x - 1 - 44 x

Subtract the terms

More Steps

Evaluate

220 x - 44 x

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

(220 - 44) x

Subtract the numbers

176 x

176 x - 1

176 x - 1 - 1 = 0

Subtract the numbers

176 x - 2 = 0

Move the constant to the right-hand side and change its sign

176 x = 0 + 2

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

176 x = 2

Divide both sides

\frac{176 x}{176} = \frac{2}{176}

Divide the numbers

x = \frac{2}{176}

Solution

x = \frac{1}{88}

Alternative Form

x = 0.011 \dot{3} \dot{6}

Show Solution