(6x+4)(10x+10)=

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Solution for (6x+4)(10x+10)= equation:


Simplifying
(6x + 4)(10x + 10) = 0

Reorder the terms:
(4 + 6x)(10x + 10) = 0

Reorder the terms:
(4 + 6x)(10 + 10x) = 0

Multiply (4 + 6x) * (10 + 10x)
(4(10 + 10x) + 6x * (10 + 10x)) = 0
((10 * 4 + 10x * 4) + 6x * (10 + 10x)) = 0
((40 + 40x) + 6x * (10 + 10x)) = 0
(40 + 40x + (10 * 6x + 10x * 6x)) = 0
(40 + 40x + (60x + 60x2)) = 0

Combine like terms: 40x + 60x = 100x
(40 + 100x + 60x2) = 0

Solving
40 + 100x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(2 + 5x + 3x2) = 0

Factor a trinomial.
20((1 + x)(2 + 3x)) = 0

Ignore the factor 20.

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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-1, -0.6666666667}

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