Solve |-11| x |12| -(-130)

Question

Simplify the expression

132 x + 130

Evaluate

∣ - 11 ∣ \times x ∣ 12 ∣ - (- 130)

Since - 11 <0,the absolute value of - 11 is 11

11 x ∣ 12 ∣ - (- 130)

When the expression in absolute value bars is not negative, remove the bars

11 x \times 12 - (- 130)

Multiply the terms

132 x - (- 130)

Solution

132 x + 130

Show Solution

Factor the expression

2 (66 x + 65)

Evaluate

∣ - 11 ∣ \times x ∣ 12 ∣ - (- 130)

Since - 11 <0,the absolute value of - 11 is 11

11 x ∣ 12 ∣ - (- 130)

When the expression in absolute value bars is not negative, remove the bars

11 x \times 12 - (- 130)

Multiply the terms

132 x - (- 130)

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

132 x + 130

Solution

2 (66 x + 65)

Show Solution

Find the roots

x = - \frac{65}{66}

Alternative Form

x = - 0.9 \dot{8} \dot{4}

Evaluate

∣ - 11 ∣ \times x ∣ 12 ∣ - (- 130)

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

∣ - 11 ∣ \times x ∣ 12 ∣ - (- 130) = 0

Since - 11 <0,the absolute value of - 11 is 11

11 x ∣ 12 ∣ - (- 130) = 0

When the expression in absolute value bars is not negative, remove the bars

11 x \times 12 - (- 130) = 0

Multiply the terms

132 x - (- 130) = 0

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

132 x + 130 = 0

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

132 x = 0 - 130

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

132 x = - 130

Divide both sides

\frac{132 x}{132} = \frac{- 130}{132}

Divide the numbers

x = \frac{- 130}{132}

Solution

More Steps

Evaluate

\frac{- 130}{132}

Cancel out the common factor 2

\frac{- 65}{66}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{65}{66}

x = - \frac{65}{66}

Alternative Form

x = - 0.9 \dot{8} \dot{4}

Show Solution