0=6x^2-7x

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Solution for 0=6x^2-7x equation:


Simplifying
0 = 6x2 + -7x

Reorder the terms:
0 = -7x + 6x2

Solving
0 = -7x + 6x2

Solving for variable 'x'.
Remove the zero:
7x + -6x2 = -7x + 6x2 + 7x + -6x2

Reorder the terms:
7x + -6x2 = -7x + 7x + 6x2 + -6x2

Combine like terms: -7x + 7x = 0
7x + -6x2 = 0 + 6x2 + -6x2
7x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
7x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -6x) = 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 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667

Solution

x = {0, 1.166666667}

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