3x(-5x-9)=3x+(-5x)

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Solution for 3x(-5x-9)=3x+(-5x) equation:


Simplifying
3x(-5x + -9) = 3x + (-5x)

Reorder the terms:
3x(-9 + -5x) = 3x + (-5x)
(-9 * 3x + -5x * 3x) = 3x + (-5x)
(-27x + -15x2) = 3x + (-5x)

Combine like terms: 3x + (-5x) = -2x
-27x + -15x2 = -2x

Solving
-27x + -15x2 = -2x

Solving for variable 'x'.

Reorder the terms:
-27x + 2x + -15x2 = -2x + 2x

Combine like terms: -27x + 2x = -25x
-25x + -15x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-25x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '-5x'.
-5x(5 + 3x) = 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Solution

x = {0, -1.666666667}

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