4x^2+16=34x

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Solution for 4x^2+16=34x equation:


Simplifying
4x2 + 16 = 34x

Reorder the terms:
16 + 4x2 = 34x

Solving
16 + 4x2 = 34x

Solving for variable 'x'.

Reorder the terms:
16 + -34x + 4x2 = 34x + -34x

Combine like terms: 34x + -34x = 0
16 + -34x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -17x + 2x2) = 0

Factor a trinomial.
2((1 + -2x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {0.5, 8}

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