(2x^2)=7x

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Solution for (2x^2)=7x equation:


Simplifying
(2x2) = 7x

Solving
(2x2) = 7x

Solving for variable 'x'.

Reorder the terms:
-7x + (2x2) = 7x + -7x

Combine like terms: 7x + -7x = 0
-7x + (2x2) = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + (2x)) = 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 '(-7 + (2x))' equal to zero and attempt to solve: Simplifying -7 + (2x) = 0 Solving -7 + (2x) = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + (2x) = 0 + 7 Combine like terms: -7 + 7 = 0 0 + (2x) = 0 + 7 (2x) = 0 + 7 Combine like terms: 0 + 7 = 7 (2x) = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5

Solution

x = {0, 3.5}

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