(3x+5)(8x-2)=(3x)(8x)+(3x)(-2)+(5)(8x)+(5)(-2)

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Solution for (3x+5)(8x-2)=(3x)(8x)+(3x)(-2)+(5)(8x)+(5)(-2) equation:


Simplifying
(3x + 5)(8x + -2) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)

Reorder the terms:
(5 + 3x)(8x + -2) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)

Reorder the terms:
(5 + 3x)(-2 + 8x) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)

Multiply (5 + 3x) * (-2 + 8x)
(5(-2 + 8x) + 3x * (-2 + 8x)) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)
((-2 * 5 + 8x * 5) + 3x * (-2 + 8x)) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)
((-10 + 40x) + 3x * (-2 + 8x)) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)
(-10 + 40x + (-2 * 3x + 8x * 3x)) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)
(-10 + 40x + (-6x + 24x2)) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)

Combine like terms: 40x + -6x = 34x
(-10 + 34x + 24x2) = (3x)(8x) + (3x)(-2) + (5)(8x) + (5)(-2)

Remove parenthesis around (3x)
-10 + 34x + 24x2 = 3x(8x) + (3x)(-2) + (5)(8x) + (5)(-2)

Remove parenthesis around (8x)
-10 + 34x + 24x2 = 3x * 8x + (3x)(-2) + (5)(8x) + (5)(-2)

Reorder the terms for easier multiplication:
-10 + 34x + 24x2 = 3 * 8x * x + (3x)(-2) + (5)(8x) + (5)(-2)

Multiply 3 * 8
-10 + 34x + 24x2 = 24x * x + (3x)(-2) + (5)(8x) + (5)(-2)

Multiply x * x
-10 + 34x + 24x2 = 24x2 + (3x)(-2) + (5)(8x) + (5)(-2)

Remove parenthesis around (3x)
-10 + 34x + 24x2 = 24x2 + 3x(-2) + (5)(8x) + (5)(-2)

Reorder the terms for easier multiplication:
-10 + 34x + 24x2 = 24x2 + 3 * -2x + (5)(8x) + (5)(-2)

Multiply 3 * -2
-10 + 34x + 24x2 = 24x2 + -6x + (5)(8x) + (5)(-2)

Remove parenthesis around (8x)
-10 + 34x + 24x2 = 24x2 + -6x + 5 * 8x + (5)(-2)

Multiply 5 * 8
-10 + 34x + 24x2 = 24x2 + -6x + 40x + (5)(-2)

Multiply 5 * -2
-10 + 34x + 24x2 = 24x2 + -6x + 40x + -10

Reorder the terms:
-10 + 34x + 24x2 = -10 + -6x + 40x + 24x2

Combine like terms: -6x + 40x = 34x
-10 + 34x + 24x2 = -10 + 34x + 24x2

Add '10' to each side of the equation.
-10 + 34x + 10 + 24x2 = -10 + 34x + 10 + 24x2

Reorder the terms:
-10 + 10 + 34x + 24x2 = -10 + 34x + 10 + 24x2

Combine like terms: -10 + 10 = 0
0 + 34x + 24x2 = -10 + 34x + 10 + 24x2
34x + 24x2 = -10 + 34x + 10 + 24x2

Reorder the terms:
34x + 24x2 = -10 + 10 + 34x + 24x2

Combine like terms: -10 + 10 = 0
34x + 24x2 = 0 + 34x + 24x2
34x + 24x2 = 34x + 24x2

Add '-34x' to each side of the equation.
34x + -34x + 24x2 = 34x + -34x + 24x2

Combine like terms: 34x + -34x = 0
0 + 24x2 = 34x + -34x + 24x2
24x2 = 34x + -34x + 24x2

Combine like terms: 34x + -34x = 0
24x2 = 0 + 24x2
24x2 = 24x2

Add '-24x2' to each side of the equation.
24x2 + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
0 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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