Solve 3x^2-8x+5 - ScanMath

Question

Factor the expression

(x - 1) (3 x - 5)

Evaluate

3 x^{2} - 8 x + 5

Rewrite the expression

3 x^{2} + (- 5 - 3) x + 5

Calculate

3 x^{2} - 5 x - 3 x + 5

Rewrite the expression

x \times 3 x - x \times 5 - 3 x + 5

Factor out x from the expression

x (3 x - 5) - 3 x + 5

Factor out - 1 from the expression

x (3 x - 5) - (3 x - 5)

Solution

(x - 1) (3 x - 5)

Show Solution

x_{1} = 1, x_{2} = \frac{5}{3}

Alternative Form

x_{1} = 1, x_{2} = 1. \dot{6}

Evaluate

3 x^{2} - 8 x + 5

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

3 x^{2} - 8 x + 5 = 0

Factor the expression

More Steps

Evaluate

3 x^{2} - 8 x + 5

Rewrite the expression

3 x^{2} + (- 5 - 3) x + 5

Calculate

3 x^{2} - 5 x - 3 x + 5

Rewrite the expression

x \times 3 x - x \times 5 - 3 x + 5

Factor out x from the expression

x (3 x - 5) - 3 x + 5

Factor out - 1 from the expression

x (3 x - 5) - (3 x - 5)

Factor out 3 x - 5 from the expression

(x - 1) (3 x - 5)

(x - 1) (3 x - 5) = 0

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

x - 1 = 0 3 x - 5 = 0

Solve the equation for x

More Steps

Evaluate

x - 1 = 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

x = 1 3 x - 5 = 0

Solve the equation for x

More Steps

Evaluate

3 x - 5 = 0

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

3 x = 0 + 5

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

3 x = 5

Divide both sides

\frac{3 x}{3} = \frac{5}{3}

Divide the numbers

x = \frac{5}{3}

x = 1 x = \frac{5}{3}

Solution

x_{1} = 1, x_{2} = \frac{5}{3}

Alternative Form

x_{1} = 1, x_{2} = 1. \dot{6}

Show Solution