(-2x+15)(-2x+28)=0

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Solution for (-2x+15)(-2x+28)=0 equation: 


Simplifying
(-2x + 15)(-2x + 28) = 0

Reorder the terms:
(15 + -2x)(-2x + 28) = 0

Reorder the terms:
(15 + -2x)(28 + -2x) = 0

Multiply (15 + -2x) * (28 + -2x)
(15(28 + -2x) + -2x * (28 + -2x)) = 0
((28 * 15 + -2x * 15) + -2x * (28 + -2x)) = 0
((420 + -30x) + -2x * (28 + -2x)) = 0
(420 + -30x + (28 * -2x + -2x * -2x)) = 0
(420 + -30x + (-56x + 4x2)) = 0

Combine like terms: -30x + -56x = -86x
(420 + -86x + 4x2) = 0

Solving
420 + -86x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(210 + -43x + 2x2) = 0

Factor a trinomial.
2((15 + -2x)(14 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying
15 + -2x = 0

Solving
15 + -2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15

Combine like terms: 0 + -15 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 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 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {7.5, 14}

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