-4x^2=40x

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Solution for -4x^2=40x equation:


Simplifying
-4x2 = 40x

Solving
-4x2 = 40x

Solving for variable 'x'.

Reorder the terms:
-40x + -4x2 = 40x + -40x

Combine like terms: 40x + -40x = 0
-40x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(10 + x) = 0

Ignore the factor -4.

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 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10

Solution

x = {0, -10}

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