Solve q^2+18q+17 - ScanMath

Question

Factor the expression

Factor

(q + 1) (q + 17)

Evaluate

q^{2} + 18 q + 17

Rewrite the expression

q^{2} + (17 + 1) q + 17

Calculate

q^{2} + 17 q + q + 17

Rewrite the expression

q \times q + q \times 17 + q + 17

Factor out q from the expression

q (q + 17) + q + 17

Solution

(q + 1) (q + 17)

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Find the roots of the algebra expression

q_{1} = - 17, q_{2} = - 1

Evaluate

q^{2} + 18 q + 17

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

q^{2} + 18 q + 17 = 0

Factor the expression

More Steps

Evaluate

q^{2} + 18 q + 17

Rewrite the expression

q^{2} + (17 + 1) q + 17

Calculate

q^{2} + 17 q + q + 17

Rewrite the expression

q \times q + q \times 17 + q + 17

Factor out q from the expression

q (q + 17) + q + 17

Factor out q + 17 from the expression

(q + 1) (q + 17)

(q + 1) (q + 17) = 0

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

q + 1 = 0 q + 17 = 0

Solve the equation for q

More Steps

Evaluate

q + 1 = 0

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

q = 0 - 1

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

q = - 1

q = - 1 q + 17 = 0

Solve the equation for q

More Steps

Evaluate

q + 17 = 0

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

q = 0 - 17

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

q = - 17

q = - 1 q = - 17

Solution

q_{1} = - 17, q_{2} = - 1

Show Solution