(2x+9)(x-7)=

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Solution for (2x+9)(x-7)= equation:


Simplifying
(2x + 9)(x + -7) = 0

Reorder the terms:
(9 + 2x)(x + -7) = 0

Reorder the terms:
(9 + 2x)(-7 + x) = 0

Multiply (9 + 2x) * (-7 + x)
(9(-7 + x) + 2x * (-7 + x)) = 0
((-7 * 9 + x * 9) + 2x * (-7 + x)) = 0
((-63 + 9x) + 2x * (-7 + x)) = 0
(-63 + 9x + (-7 * 2x + x * 2x)) = 0
(-63 + 9x + (-14x + 2x2)) = 0

Combine like terms: 9x + -14x = -5x
(-63 + -5x + 2x2) = 0

Solving
-63 + -5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 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 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-4.5, 7}

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