7x(-3x+4)(137-7x)=0

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Solution for 7x(-3x+4)(137-7x)=0 equation:


Simplifying
7x(-3x + 4)(137 + -7x) = 0

Reorder the terms:
7x(4 + -3x)(137 + -7x) = 0

Multiply (4 + -3x) * (137 + -7x)
7x(4(137 + -7x) + -3x * (137 + -7x)) = 0
7x((137 * 4 + -7x * 4) + -3x * (137 + -7x)) = 0
7x((548 + -28x) + -3x * (137 + -7x)) = 0
7x(548 + -28x + (137 * -3x + -7x * -3x)) = 0
7x(548 + -28x + (-411x + 21x2)) = 0

Combine like terms: -28x + -411x = -439x
7x(548 + -439x + 21x2) = 0
(548 * 7x + -439x * 7x + 21x2 * 7x) = 0
(3836x + -3073x2 + 147x3) = 0

Solving
3836x + -3073x2 + 147x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(548 + -439x + 21x2) = 0

Factor a trinomial.
7x((4 + -3x)(137 + -7x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

Subproblem 3
Set the factor '(137 + -7x)' equal to zero and attempt to solve:

Simplifying
137 + -7x = 0

Solving
137 + -7x = 0

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

Add '-137' to each side of the equation.
137 + -137 + -7x = 0 + -137

Combine like terms: 137 + -137 = 0
0 + -7x = 0 + -137
-7x = 0 + -137

Combine like terms: 0 + -137 = -137
-7x = -137

Divide each side by '-7'.
x = 19.57142857

Simplifying
x = 19.57142857
Solution
x = {0, 1.333333333, 19.57142857}

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