4x(2x-5)=6x-15

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Solution for 4x(2x-5)=6x-15 equation:


Simplifying
4x(2x + -5) = 6x + -15

Reorder the terms:
4x(-5 + 2x) = 6x + -15
(-5 * 4x + 2x * 4x) = 6x + -15
(-20x + 8x2) = 6x + -15

Reorder the terms:
-20x + 8x2 = -15 + 6x

Solving
-20x + 8x2 = -15 + 6x

Solving for variable 'x'.

Reorder the terms:
15 + -20x + -6x + 8x2 = -15 + 6x + 15 + -6x

Combine like terms: -20x + -6x = -26x
15 + -26x + 8x2 = -15 + 6x + 15 + -6x

Reorder the terms:
15 + -26x + 8x2 = -15 + 15 + 6x + -6x

Combine like terms: -15 + 15 = 0
15 + -26x + 8x2 = 0 + 6x + -6x
15 + -26x + 8x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -26x + 8x2 = 0

Factor a trinomial.
(3 + -4x)(5 + -2x) = 0

Subproblem 1

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

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 = {0.75, 2.5}

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