(4x+5)(3x+10)=

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Solution for (4x+5)(3x+10)= equation:


Simplifying
(4x + 5)(3x + 10) = 0

Reorder the terms:
(5 + 4x)(3x + 10) = 0

Reorder the terms:
(5 + 4x)(10 + 3x) = 0

Multiply (5 + 4x) * (10 + 3x)
(5(10 + 3x) + 4x * (10 + 3x)) = 0
((10 * 5 + 3x * 5) + 4x * (10 + 3x)) = 0
((50 + 15x) + 4x * (10 + 3x)) = 0
(50 + 15x + (10 * 4x + 3x * 4x)) = 0
(50 + 15x + (40x + 12x2)) = 0

Combine like terms: 15x + 40x = 55x
(50 + 55x + 12x2) = 0

Solving
50 + 55x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + 3x)(5 + 4x) = 0

Subproblem 1

Set the factor '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 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 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333

Subproblem 2

Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25

Solution

x = {-3.333333333, -1.25}

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