30x^2=42x

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Solution for 30x^2=42x equation:


Simplifying
30x2 = 42x

Solving
30x2 = 42x

Solving for variable 'x'.

Reorder the terms:
-42x + 30x2 = 42x + -42x

Combine like terms: 42x + -42x = 0
-42x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-7 + 5x) = 0

Ignore the factor 6.

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 '(-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

Solution

x = {0, 1.4}

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