(4x+9)*(-3x+5)=

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Solution for (4x+9)*(-3x+5)= equation:


Simplifying
(4x + 9)(-3x + 5) = 0

Reorder the terms:
(9 + 4x)(-3x + 5) = 0

Reorder the terms:
(9 + 4x)(5 + -3x) = 0

Multiply (9 + 4x) * (5 + -3x)
(9(5 + -3x) + 4x * (5 + -3x)) = 0
((5 * 9 + -3x * 9) + 4x * (5 + -3x)) = 0
((45 + -27x) + 4x * (5 + -3x)) = 0
(45 + -27x + (5 * 4x + -3x * 4x)) = 0
(45 + -27x + (20x + -12x2)) = 0

Combine like terms: -27x + 20x = -7x
(45 + -7x + -12x2) = 0

Solving
45 + -7x + -12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -3x)(9 + 4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25

Solution

x = {1.666666667, -2.25}

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