x(2x+7)+(-3)(2x+7)=

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Solution for x(2x+7)+(-3)(2x+7)= equation:


Simplifying
x(2x + 7) + (-3)(2x + 7) = 0

Reorder the terms:
x(7 + 2x) + (-3)(2x + 7) = 0
(7 * x + 2x * x) + (-3)(2x + 7) = 0
(7x + 2x2) + (-3)(2x + 7) = 0

Reorder the terms:
7x + 2x2 + -3(7 + 2x) = 0
7x + 2x2 + (7 * -3 + 2x * -3) = 0
7x + 2x2 + (-21 + -6x) = 0

Reorder the terms:
-21 + 7x + -6x + 2x2 = 0

Combine like terms: 7x + -6x = 1x
-21 + 1x + 2x2 = 0

Solving
-21 + 1x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -2x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-3.5, 3}

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