(7x-4)(5x+9)=0

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Solution for (7x-4)(5x+9)=0 equation:


Simplifying
(7x + -4)(5x + 9) = 0

Reorder the terms:
(-4 + 7x)(5x + 9) = 0

Reorder the terms:
(-4 + 7x)(9 + 5x) = 0

Multiply (-4 + 7x) * (9 + 5x)
(-4(9 + 5x) + 7x * (9 + 5x)) = 0
((9 * -4 + 5x * -4) + 7x * (9 + 5x)) = 0
((-36 + -20x) + 7x * (9 + 5x)) = 0
(-36 + -20x + (9 * 7x + 5x * 7x)) = 0
(-36 + -20x + (63x + 35x2)) = 0

Combine like terms: -20x + 63x = 43x
(-36 + 43x + 35x2) = 0

Solving
-36 + 43x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -5x)(4 + -7x) = 0

Subproblem 1

Set the factor '(-9 + -5x)' equal to zero and attempt to solve: Simplifying -9 + -5x = 0 Solving -9 + -5x = 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 + -5x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 0 + 9 -5x = 0 + 9 Combine like terms: 0 + 9 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8

Subproblem 2

Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714

Solution

x = {-1.8, 0.5714285714}

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