8x^2+x+4x^2=7x

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Solution for 8x^2+x+4x^2=7x equation:


Simplifying
8x2 + x + 4x2 = 7x

Reorder the terms:
x + 8x2 + 4x2 = 7x

Combine like terms: 8x2 + 4x2 = 12x2
x + 12x2 = 7x

Solving
x + 12x2 = 7x

Solving for variable 'x'.

Reorder the terms:
x + -7x + 12x2 = 7x + -7x

Combine like terms: x + -7x = -6x
-6x + 12x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-6x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-1 + 2x) = 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 '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0, 0.5}

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