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Simplifying (7 + -2x)(2x + -9) = 0 Reorder the terms: (7 + -2x)(-9 + 2x) = 0 Multiply (7 + -2x) * (-9 + 2x) (7(-9 + 2x) + -2x * (-9 + 2x)) = 0 ((-9 * 7 + 2x * 7) + -2x * (-9 + 2x)) = 0 ((-63 + 14x) + -2x * (-9 + 2x)) = 0 (-63 + 14x + (-9 * -2x + 2x * -2x)) = 0 (-63 + 14x + (18x + -4x2)) = 0 Combine like terms: 14x + 18x = 32x (-63 + 32x + -4x2) = 0 Solving -63 + 32x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + 2x)(7 + -2x) = 0Subproblem 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 = 4.5Subproblem 2
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 = 3.5Solution
x = {4.5, 3.5}
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