6x^2-3x=7x

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Solution for 6x^2-3x=7x equation:


Simplifying
6x2 + -3x = 7x

Reorder the terms:
-3x + 6x2 = 7x

Solving
-3x + 6x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-3x + -7x + 6x2 = 7x + -7x

Combine like terms: -3x + -7x = -10x
-10x + 6x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-10x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5 + 3x) = 0

Ignore the factor 2.

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 '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {0, 1.666666667}

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