7x^2=-8x

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Solution for 7x^2=-8x equation:


Simplifying
7x2 = -8x

Solving
7x2 = -8x

Solving for variable 'x'.

Reorder the terms:
8x + 7x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
8x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 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 '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143

Solution

x = {0, -1.142857143}

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