(5x+7)(4-3x)=

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Solution for (5x+7)(4-3x)= equation:


Simplifying
(5x + 7)(4 + -3x) = 0

Reorder the terms:
(7 + 5x)(4 + -3x) = 0

Multiply (7 + 5x) * (4 + -3x)
(7(4 + -3x) + 5x * (4 + -3x)) = 0
((4 * 7 + -3x * 7) + 5x * (4 + -3x)) = 0
((28 + -21x) + 5x * (4 + -3x)) = 0
(28 + -21x + (4 * 5x + -3x * 5x)) = 0
(28 + -21x + (20x + -15x2)) = 0

Combine like terms: -21x + 20x = -1x
(28 + -1x + -15x2) = 0

Solving
28 + -1x + -15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -3x)(7 + 5x) = 0

Subproblem 1

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Subproblem 2

Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4

Solution

x = {1.333333333, -1.4}

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