5x(2x-5)+3(2x-5)=

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Solution for 5x(2x-5)+3(2x-5)= equation:


Simplifying
5x(2x + -5) + 3(2x + -5) = 0

Reorder the terms:
5x(-5 + 2x) + 3(2x + -5) = 0
(-5 * 5x + 2x * 5x) + 3(2x + -5) = 0
(-25x + 10x2) + 3(2x + -5) = 0

Reorder the terms:
-25x + 10x2 + 3(-5 + 2x) = 0
-25x + 10x2 + (-5 * 3 + 2x * 3) = 0
-25x + 10x2 + (-15 + 6x) = 0

Reorder the terms:
-15 + -25x + 6x + 10x2 = 0

Combine like terms: -25x + 6x = -19x
-15 + -19x + 10x2 = 0

Solving
-15 + -19x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -5x)(5 + -2x) = 0

Subproblem 1

Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6

Subproblem 2

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {-0.6, 2.5}

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