(10x-7)(4x+14)=

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Solution for (10x-7)(4x+14)= equation: 


Simplifying
(10x + -7)(4x + 14) = 0

Reorder the terms:
(-7 + 10x)(4x + 14) = 0

Reorder the terms:
(-7 + 10x)(14 + 4x) = 0

Multiply (-7 + 10x) * (14 + 4x)
(-7(14 + 4x) + 10x * (14 + 4x)) = 0
((14 * -7 + 4x * -7) + 10x * (14 + 4x)) = 0
((-98 + -28x) + 10x * (14 + 4x)) = 0
(-98 + -28x + (14 * 10x + 4x * 10x)) = 0
(-98 + -28x + (140x + 40x2)) = 0

Combine like terms: -28x + 140x = 112x
(-98 + 112x + 40x2) = 0

Solving
-98 + 112x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-49 + 56x + 20x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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

Simplifying
7 + -10x = 0

Solving
7 + -10x = 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 + -10x = 0 + -7

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

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

Divide each side by '-10'.
x = 0.7

Simplifying
x = 0.7
Solution
x = {-3.5, 0.7}

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