(2x+10)(2X+15)=

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Solution for (2x+10)(2X+15)= equation:


Simplifying
(2x + 10)(2X + 15) = 0

Reorder the terms:
(10 + 2x)(2X + 15) = 0

Reorder the terms:
(10 + 2x)(15 + 2X) = 0

Multiply (10 + 2x) * (15 + 2X)
(10(15 + 2X) + 2x * (15 + 2X)) = 0
((15 * 10 + 2X * 10) + 2x * (15 + 2X)) = 0
((150 + 20X) + 2x * (15 + 2X)) = 0
(150 + 20X + (15 * 2x + 2X * 2x)) = 0
(150 + 20X + (30x + 4xX)) = 0
(150 + 20X + 30x + 4xX) = 0

Solving
150 + 20X + 30x + 4xX = 0

Solving for variable 'X'.

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

Add '-150' to each side of the equation.
150 + 20X + 30x + -150 + 4xX = 0 + -150

Reorder the terms:
150 + -150 + 20X + 30x + 4xX = 0 + -150

Combine like terms: 150 + -150 = 0
0 + 20X + 30x + 4xX = 0 + -150
20X + 30x + 4xX = 0 + -150

Combine like terms: 0 + -150 = -150
20X + 30x + 4xX = -150

Add '-30x' to each side of the equation.
20X + 30x + -30x + 4xX = -150 + -30x

Combine like terms: 30x + -30x = 0
20X + 0 + 4xX = -150 + -30x
20X + 4xX = -150 + -30x

Reorder the terms:
150 + 20X + 30x + 4xX = -150 + -30x + 150 + 30x

Reorder the terms:
150 + 20X + 30x + 4xX = -150 + 150 + -30x + 30x

Combine like terms: -150 + 150 = 0
150 + 20X + 30x + 4xX = 0 + -30x + 30x
150 + 20X + 30x + 4xX = -30x + 30x

Combine like terms: -30x + 30x = 0
150 + 20X + 30x + 4xX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(75 + 10X + 15x + 2xX) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(75 + 10X + 15x + 2xX)' equal to zero and attempt to solve: Simplifying 75 + 10X + 15x + 2xX = 0 Solving 75 + 10X + 15x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + 10X + 15x + -75 + 2xX = 0 + -75 Reorder the terms: 75 + -75 + 10X + 15x + 2xX = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 10X + 15x + 2xX = 0 + -75 10X + 15x + 2xX = 0 + -75 Combine like terms: 0 + -75 = -75 10X + 15x + 2xX = -75 Add '-15x' to each side of the equation. 10X + 15x + -15x + 2xX = -75 + -15x Combine like terms: 15x + -15x = 0 10X + 0 + 2xX = -75 + -15x 10X + 2xX = -75 + -15x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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