(9q-2)(9q-7)=

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Solution for (9q-2)(9q-7)= equation:


Simplifying
(9q + -2)(9q + -7) = 0

Reorder the terms:
(-2 + 9q)(9q + -7) = 0

Reorder the terms:
(-2 + 9q)(-7 + 9q) = 0

Multiply (-2 + 9q) * (-7 + 9q)
(-2(-7 + 9q) + 9q * (-7 + 9q)) = 0
((-7 * -2 + 9q * -2) + 9q * (-7 + 9q)) = 0
((14 + -18q) + 9q * (-7 + 9q)) = 0
(14 + -18q + (-7 * 9q + 9q * 9q)) = 0
(14 + -18q + (-63q + 81q2)) = 0

Combine like terms: -18q + -63q = -81q
(14 + -81q + 81q2) = 0

Solving
14 + -81q + 81q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2 + -9q)(7 + -9q) = 0

Subproblem 1

Set the factor '(2 + -9q)' equal to zero and attempt to solve: Simplifying 2 + -9q = 0 Solving 2 + -9q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9q = 0 + -2 -9q = 0 + -2 Combine like terms: 0 + -2 = -2 -9q = -2 Divide each side by '-9'. q = 0.2222222222 Simplifying q = 0.2222222222

Subproblem 2

Set the factor '(7 + -9q)' equal to zero and attempt to solve: Simplifying 7 + -9q = 0 Solving 7 + -9q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9q = 0 + -7 -9q = 0 + -7 Combine like terms: 0 + -7 = -7 -9q = -7 Divide each side by '-9'. q = 0.7777777778 Simplifying q = 0.7777777778

Solution

q = {0.2222222222, 0.7777777778}

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