(5x+7)(2x+54)=

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Solution for (5x+7)(2x+54)= equation: 


Simplifying
(5x + 7)(2x + 54) = 0

Reorder the terms:
(7 + 5x)(2x + 54) = 0

Reorder the terms:
(7 + 5x)(54 + 2x) = 0

Multiply (7 + 5x) * (54 + 2x)
(7(54 + 2x) + 5x * (54 + 2x)) = 0
((54 * 7 + 2x * 7) + 5x * (54 + 2x)) = 0
((378 + 14x) + 5x * (54 + 2x)) = 0
(378 + 14x + (54 * 5x + 2x * 5x)) = 0
(378 + 14x + (270x + 10x2)) = 0

Combine like terms: 14x + 270x = 284x
(378 + 284x + 10x2) = 0

Solving
378 + 284x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(189 + 142x + 5x2) = 0

Factor a trinomial.
2((27 + x)(7 + 5x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(27 + x)' equal to zero and attempt to solve:

Simplifying
27 + x = 0

Solving
27 + x = 0

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

Add '-27' to each side of the equation.
27 + -27 + x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + x = 0 + -27
x = 0 + -27

Combine like terms: 0 + -27 = -27
x = -27

Simplifying
x = -27

Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {-27, -1.4}

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