(10x+9)(7x+7)=

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Solution for (10x+9)(7x+7)= equation:


Simplifying
(10x + 9)(7x + 7) = 0

Reorder the terms:
(9 + 10x)(7x + 7) = 0

Reorder the terms:
(9 + 10x)(7 + 7x) = 0

Multiply (9 + 10x) * (7 + 7x)
(9(7 + 7x) + 10x * (7 + 7x)) = 0
((7 * 9 + 7x * 9) + 10x * (7 + 7x)) = 0
((63 + 63x) + 10x * (7 + 7x)) = 0
(63 + 63x + (7 * 10x + 7x * 10x)) = 0
(63 + 63x + (70x + 70x2)) = 0

Combine like terms: 63x + 70x = 133x
(63 + 133x + 70x2) = 0

Solving
63 + 133x + 70x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(9 + 19x + 10x2) = 0

Factor a trinomial.
7((1 + x)(9 + 10x)) = 0

Ignore the factor 7.

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(9 + 10x)' equal to zero and attempt to solve:

Simplifying
9 + 10x = 0

Solving
9 + 10x = 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 + 10x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10x = 0 + -9
10x = 0 + -9

Combine like terms: 0 + -9 = -9
10x = -9

Divide each side by '10'.
x = -0.9

Simplifying
x = -0.9
Solution
x = {-1, -0.9}

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