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

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


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

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

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

Combine like terms: x + -3x = -2x
(-7 + x)(5 + -2x) = 0

Multiply (-7 + x) * (5 + -2x)
(-7(5 + -2x) + x(5 + -2x)) = 0
((5 * -7 + -2x * -7) + x(5 + -2x)) = 0
((-35 + 14x) + x(5 + -2x)) = 0
(-35 + 14x + (5 * x + -2x * x)) = 0
(-35 + 14x + (5x + -2x2)) = 0

Combine like terms: 14x + 5x = 19x
(-35 + 19x + -2x2) = 0

Solving
-35 + 19x + -2x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {7, 2.5}

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