(7*x+10)*(4x+8)=

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Solution for (7*x+10)*(4x+8)= equation: 


Simplifying
(7x + 10)(4x + 8) = 0

Reorder the terms:
(10 + 7x)(4x + 8) = 0

Reorder the terms:
(10 + 7x)(8 + 4x) = 0

Multiply (10 + 7x) * (8 + 4x)
(10(8 + 4x) + 7x * (8 + 4x)) = 0
((8 * 10 + 4x * 10) + 7x * (8 + 4x)) = 0
((80 + 40x) + 7x * (8 + 4x)) = 0
(80 + 40x + (8 * 7x + 4x * 7x)) = 0
(80 + 40x + (56x + 28x2)) = 0

Combine like terms: 40x + 56x = 96x
(80 + 96x + 28x2) = 0

Solving
80 + 96x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + 24x + 7x2) = 0

Factor a trinomial.
4((2 + x)(10 + 7x)) = 0

Ignore the factor 4.

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

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

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

Simplifying
x = -2

Subproblem 2
Set the factor '(10 + 7x)' equal to zero and attempt to solve:

Simplifying
10 + 7x = 0

Solving
10 + 7x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 0 + -10
7x = 0 + -10

Combine like terms: 0 + -10 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429
Solution
x = {-2, -1.428571429}

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