Expand(4x+3y)(3x-5y)=

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Solution for Expand(4x+3y)(3x-5y)= equation:


Simplifying
Expand(4x + 3y)(3x + -5y) = 0

Multiply (4x + 3y) * (3x + -5y)
adnpxE(4x * (3x + -5y) + 3y * (3x + -5y)) = 0
adnpxE((3x * 4x + -5y * 4x) + 3y * (3x + -5y)) = 0

Reorder the terms:
adnpxE((-20xy + 12x2) + 3y * (3x + -5y)) = 0
adnpxE((-20xy + 12x2) + 3y * (3x + -5y)) = 0
adnpxE(-20xy + 12x2 + (3x * 3y + -5y * 3y)) = 0
adnpxE(-20xy + 12x2 + (9xy + -15y2)) = 0

Reorder the terms:
adnpxE(-20xy + 9xy + 12x2 + -15y2) = 0

Combine like terms: -20xy + 9xy = -11xy
adnpxE(-11xy + 12x2 + -15y2) = 0
(-11xy * adnpxE + 12x2 * adnpxE + -15y2 * adnpxE) = 0

Reorder the terms:
(-15adnpxy2E + -11adnpx2yE + 12adnpx3E) = 0
(-15adnpxy2E + -11adnpx2yE + 12adnpx3E) = 0

Solving
-15adnpxy2E + -11adnpx2yE + 12adnpx3E = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'adnpxE'.
adnpxE(-15y2 + -11xy + 12x2) = 0

Factor a trinomial.
adnpxE((-3y + -4x)(5y + -3x)) = 0

Subproblem 1

Set the factor 'adnpxE' equal to zero and attempt to solve: Simplifying adnpxE = 0 Solving adnpxE = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adnpxE = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-3y + -4x)' equal to zero and attempt to solve: Simplifying -3y + -4x = 0 Reorder the terms: -4x + -3y = 0 Solving -4x + -3y = 0 Move all terms containing a to the left, all other terms to the right. Add '4x' to each side of the equation. -4x + 4x + -3y = 0 + 4x Combine like terms: -4x + 4x = 0 0 + -3y = 0 + 4x -3y = 0 + 4x Remove the zero: -3y = 4x Add '3y' to each side of the equation. -3y + 3y = 4x + 3y Combine like terms: -3y + 3y = 0 0 = 4x + 3y Simplifying 0 = 4x + 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(5y + -3x)' equal to zero and attempt to solve: Simplifying 5y + -3x = 0 Reorder the terms: -3x + 5y = 0 Solving -3x + 5y = 0 Move all terms containing a to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 3x + 5y = 0 + 3x Combine like terms: -3x + 3x = 0 0 + 5y = 0 + 3x 5y = 0 + 3x Remove the zero: 5y = 3x Add '-5y' to each side of the equation. 5y + -5y = 3x + -5y Combine like terms: 5y + -5y = 0 0 = 3x + -5y Simplifying 0 = 3x + -5y 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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