3x+5x=60x^2

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Solution for 3x+5x=60x^2 equation:


Simplifying
3x + 5x = 60x2

Combine like terms: 3x + 5x = 8x
8x = 60x2

Solving
8x = 60x2

Solving for variable 'x'.

Combine like terms: 60x2 + -60x2 = 0
8x + -60x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + -15x) = 0

Ignore the factor 4.

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 '(2 + -15x)' equal to zero and attempt to solve: Simplifying 2 + -15x = 0 Solving 2 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -15x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -15x = 0 + -2 -15x = 0 + -2 Combine like terms: 0 + -2 = -2 -15x = -2 Divide each side by '-15'. x = 0.1333333333 Simplifying x = 0.1333333333

Solution

x = {0, 0.1333333333}

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