7x^2=-10x

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Solution for 7x^2=-10x equation:


Simplifying
7x2 = -10x

Solving
7x2 = -10x

Solving for variable 'x'.

Reorder the terms:
10x + 7x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
10x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + 7x) = 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 '(10 + 7x)' equal to zero and attempt to solve: Simplifying 10 + 7x = 0 Solving 10 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 0 + -10 7x = 0 + -10 Combine like terms: 0 + -10 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429

Solution

x = {0, -1.428571429}

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