(7x+7)(5x+3)=

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Solution for (7x+7)(5x+3)= equation:


Simplifying
(7x + 7)(5x + 3) = 0

Reorder the terms:
(7 + 7x)(5x + 3) = 0

Reorder the terms:
(7 + 7x)(3 + 5x) = 0

Multiply (7 + 7x) * (3 + 5x)
(7(3 + 5x) + 7x * (3 + 5x)) = 0
((3 * 7 + 5x * 7) + 7x * (3 + 5x)) = 0
((21 + 35x) + 7x * (3 + 5x)) = 0
(21 + 35x + (3 * 7x + 5x * 7x)) = 0
(21 + 35x + (21x + 35x2)) = 0

Combine like terms: 35x + 21x = 56x
(21 + 56x + 35x2) = 0

Solving
21 + 56x + 35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(3 + 8x + 5x2) = 0

Factor a trinomial.
7((1 + x)(3 + 5x)) = 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 '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {-1, -0.6}

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