(x+2)(5x-7)=0

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Solution for (x+2)(5x-7)=0 equation:


Simplifying
(x + 2)(5x + -7) = 0

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

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

Multiply (2 + x) * (-7 + 5x)
(2(-7 + 5x) + x(-7 + 5x)) = 0
((-7 * 2 + 5x * 2) + x(-7 + 5x)) = 0
((-14 + 10x) + x(-7 + 5x)) = 0
(-14 + 10x + (-7 * x + 5x * x)) = 0
(-14 + 10x + (-7x + 5x2)) = 0

Combine like terms: 10x + -7x = 3x
(-14 + 3x + 5x2) = 0

Solving
-14 + 3x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(7 + -5x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

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 = {-2, 1.4}

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