16x^2=7x

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Solution for 16x^2=7x equation:


Simplifying
16x2 = 7x

Solving
16x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-7x + 16x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-7x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 16x) = 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 + 16x)' equal to zero and attempt to solve: Simplifying -7 + 16x = 0 Solving -7 + 16x = 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 + 16x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 0 + 7 16x = 0 + 7 Combine like terms: 0 + 7 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375

Solution

x = {0, 0.4375}

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