(7-3x)(9-3x)=

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Solution for (7-3x)(9-3x)= equation:


Simplifying
(7 + -3x)(9 + -3x) = 0

Multiply (7 + -3x) * (9 + -3x)
(7(9 + -3x) + -3x * (9 + -3x)) = 0
((9 * 7 + -3x * 7) + -3x * (9 + -3x)) = 0
((63 + -21x) + -3x * (9 + -3x)) = 0
(63 + -21x + (9 * -3x + -3x * -3x)) = 0
(63 + -21x + (-27x + 9x2)) = 0

Combine like terms: -21x + -27x = -48x
(63 + -48x + 9x2) = 0

Solving
63 + -48x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(21 + -16x + 3x2) = 0

Factor a trinomial.
3((7 + -3x)(3 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {2.333333333, 3}

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