-5x(x+1)=-4x-7x

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Solution for -5x(x+1)=-4x-7x equation:


Simplifying
-5x(x + 1) = -4x + -7x

Reorder the terms:
-5x(1 + x) = -4x + -7x
(1 * -5x + x * -5x) = -4x + -7x
(-5x + -5x2) = -4x + -7x

Combine like terms: -4x + -7x = -11x
-5x + -5x2 = -11x

Solving
-5x + -5x2 = -11x

Solving for variable 'x'.

Reorder the terms:
-5x + 11x + -5x2 = -11x + 11x

Combine like terms: -5x + 11x = 6x
6x + -5x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
6x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -5x) = 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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2

Solution

x = {0, 1.2}

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