(-7x+7)(-4x+9)=

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Solution for (-7x+7)(-4x+9)= equation: 


Simplifying
(-7x + 7)(-4x + 9) = 0

Reorder the terms:
(7 + -7x)(-4x + 9) = 0

Reorder the terms:
(7 + -7x)(9 + -4x) = 0

Multiply (7 + -7x) * (9 + -4x)
(7(9 + -4x) + -7x * (9 + -4x)) = 0
((9 * 7 + -4x * 7) + -7x * (9 + -4x)) = 0
((63 + -28x) + -7x * (9 + -4x)) = 0
(63 + -28x + (9 * -7x + -4x * -7x)) = 0
(63 + -28x + (-63x + 28x2)) = 0

Combine like terms: -28x + -63x = -91x
(63 + -91x + 28x2) = 0

Solving
63 + -91x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(9 + -13x + 4x2) = 0

Factor a trinomial.
7((1 + -1x)(9 + -4x)) = 0

Ignore the factor 7.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {1, 2.25}

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