4x^2+10x^2+6x=12x

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Solution for 4x^2+10x^2+6x=12x equation:


Simplifying
4x2 + 10x2 + 6x = 12x

Reorder the terms:
6x + 4x2 + 10x2 = 12x

Combine like terms: 4x2 + 10x2 = 14x2
6x + 14x2 = 12x

Solving
6x + 14x2 = 12x

Solving for variable 'x'.

Reorder the terms:
6x + -12x + 14x2 = 12x + -12x

Combine like terms: 6x + -12x = -6x
-6x + 14x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-6x + 14x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 7x) = 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 '(-3 + 7x)' equal to zero and attempt to solve: Simplifying -3 + 7x = 0 Solving -3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 0 + 3 7x = 0 + 3 Combine like terms: 0 + 3 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286

Solution

x = {0, 0.4285714286}

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