2x^3=7x^2

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Solution for 2x^3=7x^2 equation:


Simplifying
2x3 = 7x2

Solving
2x3 = 7x2

Solving for variable 'x'.

Reorder the terms:
-7x2 + 2x3 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-7 + 2x) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: 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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