(-2x+7)(7x+2)=0

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Solution for (-2x+7)(7x+2)=0 equation: 


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

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

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

Multiply (7 + -2x) * (2 + 7x)
(7(2 + 7x) + -2x * (2 + 7x)) = 0
((2 * 7 + 7x * 7) + -2x * (2 + 7x)) = 0
((14 + 49x) + -2x * (2 + 7x)) = 0
(14 + 49x + (2 * -2x + 7x * -2x)) = 0
(14 + 49x + (-4x + -14x2)) = 0

Combine like terms: 49x + -4x = 45x
(14 + 45x + -14x2) = 0

Solving
14 + 45x + -14x2 = 0

Solving for variable 'x'.

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


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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