Solve 1e-10x^2-1e-7x

Question

Simplify the expression

- 10 x^{2} - 7 x

Evaluate

1 \times e - 10 x^{2} - 1 \times e - 7 x

Multiply the numbers

e - 10 x^{2} - 1 \times e - 7 x

Multiply the numbers

e - 10 x^{2} - e - 7 x

Solution

- 10 x^{2} - 7 x

Show Solution

- x (10 x + 7)

Evaluate

1 \times e - 10 x^{2} - 1 \times e - 7 x

Multiply the numbers

e - 10 x^{2} - 1 \times e - 7 x

Multiply the numbers

e - 10 x^{2} - e - 7 x

Since two opposites add up to 0,remove them form the expression

- 10 x^{2} - 7 x

Rewrite the expression

- x \times 10 x - x \times 7

Solution

- x (10 x + 7)

Show Solution

x_{1} = - \frac{7}{10}, x_{2} = 0

Alternative Form

x_{1} = - 0.7, x_{2} = 0

Evaluate

1 \times e - 10 x^{2} - 1 \times e - 7 x

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

1 \times e - 10 x^{2} - 1 \times e - 7 x = 0

Multiply the numbers

e - 10 x^{2} - 1 \times e - 7 x = 0

Multiply the numbers

e - 10 x^{2} - e - 7 x = 0

Since two opposites add up to 0,remove them form the expression

- 10 x^{2} - 7 x = 0

Factor the expression

More Steps

Evaluate

- 10 x^{2} - 7 x

Rewrite the expression

- x \times 10 x - x \times 7

Factor out - x from the expression

- x (10 x + 7)

- x (10 x + 7) = 0

When the product of factors equals 0,at least one factor is 0

- x = 0 10 x + 7 = 0

Solve the equation for x

x = 0 10 x + 7 = 0

Solve the equation for x

More Steps

Evaluate

10 x + 7 = 0

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

10 x = 0 - 7

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

10 x = - 7

Divide both sides

\frac{10 x}{10} = \frac{- 7}{10}

Divide the numbers

x = \frac{- 7}{10}

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

x = - \frac{7}{10}

x = 0 x = - \frac{7}{10}

Solution

x_{1} = - \frac{7}{10}, x_{2} = 0

Alternative Form

x_{1} = - 0.7, x_{2} = 0

Show Solution