(-2x-7)(-3x-7)=

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Solution for (-2x-7)(-3x-7)= equation: 


Simplifying
(-2x + -7)(-3x + -7) = 0

Reorder the terms:
(-7 + -2x)(-3x + -7) = 0

Reorder the terms:
(-7 + -2x)(-7 + -3x) = 0

Multiply (-7 + -2x) * (-7 + -3x)
(-7(-7 + -3x) + -2x * (-7 + -3x)) = 0
((-7 * -7 + -3x * -7) + -2x * (-7 + -3x)) = 0
((49 + 21x) + -2x * (-7 + -3x)) = 0
(49 + 21x + (-7 * -2x + -3x * -2x)) = 0
(49 + 21x + (14x + 6x2)) = 0

Combine like terms: 21x + 14x = 35x
(49 + 35x + 6x2) = 0

Solving
49 + 35x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 2x)(7 + 3x) = 0


Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
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
Solution
x = {-3.5, -2.333333333}

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