5X^2=-35X

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Solution for 5X^2=-35X equation:


Simplifying
5X2 = -35X

Solving
5X2 = -35X

Solving for variable 'X'.

Reorder the terms:
35X + 5X2 = -35X + 35X

Combine like terms: -35X + 35X = 0
35X + 5X2 = 0

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

Ignore the factor 5.

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 + X)' equal to zero and attempt to solve: Simplifying 7 + X = 0 Solving 7 + X = 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 + X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + X = 0 + -7 X = 0 + -7 Combine like terms: 0 + -7 = -7 X = -7 Simplifying X = -7

Solution

X = {0, -7}

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