14x=3x^2+8

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Solution for 14x=3x^2+8 equation:


Simplifying
14x = 3x2 + 8

Reorder the terms:
14x = 8 + 3x2

Solving
14x = 8 + 3x2

Solving for variable 'x'.

Reorder the terms:
-8 + 14x + -3x2 = 8 + 3x2 + -8 + -3x2

Reorder the terms:
-8 + 14x + -3x2 = 8 + -8 + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-8 + 14x + -3x2 = 0 + 3x2 + -3x2
-8 + 14x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + 14x + -3x2 = 0

Factor a trinomial.
(-4 + x)(2 + -3x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {4, 0.6666666667}

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