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

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


Simplifying
-3(2x2 + 5x + -3)(2x + 3) = 0

Reorder the terms:
-3(-3 + 5x + 2x2)(2x + 3) = 0

Reorder the terms:
-3(-3 + 5x + 2x2)(3 + 2x) = 0

Multiply (-3 + 5x + 2x2) * (3 + 2x)
-3(-3(3 + 2x) + 5x * (3 + 2x) + 2x2 * (3 + 2x)) = 0
-3((3 * -3 + 2x * -3) + 5x * (3 + 2x) + 2x2 * (3 + 2x)) = 0
-3((-9 + -6x) + 5x * (3 + 2x) + 2x2 * (3 + 2x)) = 0
-3(-9 + -6x + (3 * 5x + 2x * 5x) + 2x2 * (3 + 2x)) = 0
-3(-9 + -6x + (15x + 10x2) + 2x2 * (3 + 2x)) = 0
-3(-9 + -6x + 15x + 10x2 + (3 * 2x2 + 2x * 2x2)) = 0
-3(-9 + -6x + 15x + 10x2 + (6x2 + 4x3)) = 0

Combine like terms: -6x + 15x = 9x
-3(-9 + 9x + 10x2 + 6x2 + 4x3) = 0

Combine like terms: 10x2 + 6x2 = 16x2
-3(-9 + 9x + 16x2 + 4x3) = 0
(-9 * -3 + 9x * -3 + 16x2 * -3 + 4x3 * -3) = 0
(27 + -27x + -48x2 + -12x3) = 0

Solving
27 + -27x + -48x2 + -12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -9x + -16x2 + -4x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(9 + -9x + -16x2 + -4x3)' equal to zero and attempt to solve: Simplifying 9 + -9x + -16x2 + -4x3 = 0 Solving 9 + -9x + -16x2 + -4x3 = 0 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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