30x^2-156x+168=6x

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Solution for 30x^2-156x+168=6x equation:


Simplifying
30x2 + -156x + 168 = 6x

Reorder the terms:
168 + -156x + 30x2 = 6x

Solving
168 + -156x + 30x2 = 6x

Solving for variable 'x'.

Reorder the terms:
168 + -156x + -6x + 30x2 = 6x + -6x

Combine like terms: -156x + -6x = -162x
168 + -162x + 30x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
168 + -162x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(28 + -27x + 5x2) = 0

Factor a trinomial.
6((7 + -5x)(4 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {1.4, 4}

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