(2x^2)4=17x

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Solution for (2x^2)4=17x equation:


Simplifying
(2x2) * 4 = 17x

Remove parenthesis around (2x2)
2x2 * 4 = 17x

Reorder the terms for easier multiplication:
2 * 4x2 = 17x

Multiply 2 * 4
8x2 = 17x

Solving
8x2 = 17x

Solving for variable 'x'.

Reorder the terms:
-17x + 8x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
-17x + 8x2 = 0

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

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 '(-17 + 8x)' equal to zero and attempt to solve: Simplifying -17 + 8x = 0 Solving -17 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 0 + 17 8x = 0 + 17 Combine like terms: 0 + 17 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125

Solution

x = {0, 2.125}

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