(3x+4)x(5x+10)=50

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Solution for (3x+4)x(5x+10)=50 equation:


Simplifying
(3x + 4) * x(5x + 10) = 50

Reorder the terms:
(4 + 3x) * x(5x + 10) = 50

Reorder the terms:
(4 + 3x) * x(10 + 5x) = 50

Reorder the terms for easier multiplication:
x(4 + 3x)(10 + 5x) = 50

Multiply (4 + 3x) * (10 + 5x)
x(4(10 + 5x) + 3x * (10 + 5x)) = 50
x((10 * 4 + 5x * 4) + 3x * (10 + 5x)) = 50
x((40 + 20x) + 3x * (10 + 5x)) = 50
x(40 + 20x + (10 * 3x + 5x * 3x)) = 50
x(40 + 20x + (30x + 15x2)) = 50

Combine like terms: 20x + 30x = 50x
x(40 + 50x + 15x2) = 50
(40 * x + 50x * x + 15x2 * x) = 50
(40x + 50x2 + 15x3) = 50

Solving
40x + 50x2 + 15x3 = 50

Solving for variable 'x'.

Reorder the terms:
-50 + 40x + 50x2 + 15x3 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + 40x + 50x2 + 15x3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + 8x + 10x2 + 3x3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-10 + 8x + 10x2 + 3x3)' equal to zero and attempt to solve: Simplifying -10 + 8x + 10x2 + 3x3 = 0 Solving -10 + 8x + 10x2 + 3x3 = 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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