(5+2x)(2-7x)=

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Solution for (5+2x)(2-7x)= equation: 


Simplifying
(5 + 2x)(2 + -7x) = 0

Multiply (5 + 2x) * (2 + -7x)
(5(2 + -7x) + 2x * (2 + -7x)) = 0
((2 * 5 + -7x * 5) + 2x * (2 + -7x)) = 0
((10 + -35x) + 2x * (2 + -7x)) = 0
(10 + -35x + (2 * 2x + -7x * 2x)) = 0
(10 + -35x + (4x + -14x2)) = 0

Combine like terms: -35x + 4x = -31x
(10 + -31x + -14x2) = 0

Solving
10 + -31x + -14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -7x)(5 + 2x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0.2857142857, -2.5}

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