7(56+85)7x(57x+70)=30x

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Solution for 7(56+85)7x(57x+70)=30x equation:


Simplifying
7(56 + 85) * 7x(57x + 70) = 30x

Combine like terms: 56 + 85 = 141
7(141) * 7x(57x + 70) = 30x

Reorder the terms:
7 * 141 * 7x(70 + 57x) = 30x

Multiply 7 * 141
987 * 7x(70 + 57x) = 30x

Multiply 987 * 7
6909x(70 + 57x) = 30x
(70 * 6909x + 57x * 6909x) = 30x
(483630x + 393813x2) = 30x

Solving
483630x + 393813x2 = 30x

Solving for variable 'x'.

Reorder the terms:
483630x + -30x + 393813x2 = 30x + -30x

Combine like terms: 483630x + -30x = 483600x
483600x + 393813x2 = 30x + -30x

Combine like terms: 30x + -30x = 0
483600x + 393813x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(161200 + 131271x) = 0

Ignore the factor 3.

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 '(161200 + 131271x)' equal to zero and attempt to solve:

Simplifying
161200 + 131271x = 0

Solving
161200 + 131271x = 0

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

Add '-161200' to each side of the equation.
161200 + -161200 + 131271x = 0 + -161200

Combine like terms: 161200 + -161200 = 0
0 + 131271x = 0 + -161200
131271x = 0 + -161200

Combine like terms: 0 + -161200 = -161200
131271x = -161200

Divide each side by '131271'.
x = -1.227993997

Simplifying
x = -1.227993997
Solution
x = {0, -1.227993997}

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