Solve 4-6(x^2)=3-5x

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = - \frac{1}{6}, x_{2} = 1

Alternative Form

x_{1} = - 0.1 \dot{6}, x_{2} = 1

Evaluate

4 - 6 x^{2} = 3 - 5 x

Move the expression to the left side

1 - 6 x^{2} + 5 x = 0

Factor the expression

More Steps

Evaluate

1 - 6 x^{2} + 5 x

Reorder the terms

1 + 5 x - 6 x^{2}

Rewrite the expression

1 + (6 - 1) x - 6 x^{2}

Calculate

1 + 6 x - x - 6 x^{2}

Rewrite the expression

1 + 6 x - x - x \times 6 x

Factor out - x from the expression

1 + 6 x - x (1 + 6 x)

Factor out 1 + 6 x from the expression

(1 - x) (1 + 6 x)

(1 - x) (1 + 6 x) = 0

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

1 - x = 0 1 + 6 x = 0

Solve the equation for x

More Steps

Evaluate

1 - x = 0

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

- x = 0 - 1

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

- x = - 1

Change the signs on both sides of the equation

x = 1

x = 1 1 + 6 x = 0

Solve the equation for x

More Steps

Evaluate

1 + 6 x = 0

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

6 x = 0 - 1

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

6 x = - 1

Divide both sides

\frac{6 x}{6} = \frac{- 1}{6}

Divide the numbers

x = \frac{- 1}{6}

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

x = - \frac{1}{6}

x = 1 x = - \frac{1}{6}

Solution

x_{1} = - \frac{1}{6}, x_{2} = 1

Alternative Form

x_{1} = - 0.1 \dot{6}, x_{2} = 1

Show Solution