37x=-16x^2

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Solution for 37x=-16x^2 equation:


Simplifying
37x = -16x2

Solving
37x = -16x2

Solving for variable 'x'.

Combine like terms: -16x2 + 16x2 = 0
37x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(37 + 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 '(37 + 16x)' equal to zero and attempt to solve: Simplifying 37 + 16x = 0 Solving 37 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 16x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 16x = 0 + -37 16x = 0 + -37 Combine like terms: 0 + -37 = -37 16x = -37 Divide each side by '16'. x = -2.3125 Simplifying x = -2.3125

Solution

x = {0, -2.3125}

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