(3x-14)(2x+10)=

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Solution for (3x-14)(2x+10)= equation: 


Simplifying
(3x + -14)(2x + 10) = 0

Reorder the terms:
(-14 + 3x)(2x + 10) = 0

Reorder the terms:
(-14 + 3x)(10 + 2x) = 0

Multiply (-14 + 3x) * (10 + 2x)
(-14(10 + 2x) + 3x * (10 + 2x)) = 0
((10 * -14 + 2x * -14) + 3x * (10 + 2x)) = 0
((-140 + -28x) + 3x * (10 + 2x)) = 0
(-140 + -28x + (10 * 3x + 2x * 3x)) = 0
(-140 + -28x + (30x + 6x2)) = 0

Combine like terms: -28x + 30x = 2x
(-140 + 2x + 6x2) = 0

Solving
-140 + 2x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-70 + x + 3x2) = 0

Factor a trinomial.
2((-5 + -1x)(14 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(14 + -3x)' equal to zero and attempt to solve:

Simplifying
14 + -3x = 0

Solving
14 + -3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 0 + -14
-3x = 0 + -14

Combine like terms: 0 + -14 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667
Solution
x = {-5, 4.666666667}

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