(4x+14)(7x-2)=

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Solution for (4x+14)(7x-2)= equation:


Simplifying
(4x + 14)(7x + -2) = 0

Reorder the terms:
(14 + 4x)(7x + -2) = 0

Reorder the terms:
(14 + 4x)(-2 + 7x) = 0

Multiply (14 + 4x) * (-2 + 7x)
(14(-2 + 7x) + 4x * (-2 + 7x)) = 0
((-2 * 14 + 7x * 14) + 4x * (-2 + 7x)) = 0
((-28 + 98x) + 4x * (-2 + 7x)) = 0
(-28 + 98x + (-2 * 4x + 7x * 4x)) = 0
(-28 + 98x + (-8x + 28x2)) = 0

Combine like terms: 98x + -8x = 90x
(-28 + 90x + 28x2) = 0

Solving
-28 + 90x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 45x + 14x2) = 0

Factor a trinomial.
2((-7 + -2x)(2 + -7x)) = 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 '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

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

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

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

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-3.5, 0.2857142857}

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