-14x^2=10x

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Solution for -14x^2=10x equation:


Simplifying
-14x2 = 10x

Solving
-14x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-10x + -14x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-10x + -14x2 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(5 + 7x) = 0

Ignore the factor -2.

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 '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143

Solution

x = {0, -0.7142857143}

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